Use the triangle sum conjecture to determine each lettered angle measure.

Pls help!

Answer:

a = 69

b = 47

c = 116

d = 93

e = 86

See ALL MATH below!

Step-by-step explanation: (PLEASE READ!!!) ;3

remember that the sum of all the angles in a triangle will always add up to be 180.

All angles in a quadrilateral will be 360.

Pentagon, 540, and the center shape in your problem, hexagon, 720°

It's easier to think about this problem when you look at the two separate triangles, and not the small individual shapes. SO...

one of them, the one that points down, only has a single missing angle (a)

we can find that by doing this:

40 + 71 = 111

180 - 111 = 69

so a = 69

to find B, it's actually more simple. b+133, the angle next to it, will add up to 180, because it's a straight line. so...

180-133 = 47, so B = 47

now that you have a and b,  we can find c by using the same method we used to find b, but first we need the angle next to it, so we use the method to find a!

180 - (a + b) = needed angle

180 - needed angle = c

69 + 47 = 116

180-116 = 64

now we have 64. we will subtract that from 180 to get c!

180- 64 = 116

the easiest way to find d is to find the other angle in that small triangle to the bottom right, so we'll subtract 140 from 180, which is 40. 47 + 40 = 87

180 - 87 = 93

d = 93!

finally for e, I'm going to do my work below, I'll have to find many other angles to get e, so maaaaybe you'll be able to follow along.

71+40=111, 180 - 111 = 69

180 - 69 = 111

111 is the angle to the left of the given 140.

NOW we can focus on that little triangle to the left, after we get the bottom left most angle, we can add that with 47, subtract it from 180, and we'll have e!!!

180-111 = 69   (bottom right angle of little triangle)

180-116 (c) = 64 (top angle)

69 + 64 = 133

180 - 133 = 47!!

Now we have two angles of the large triangle that points up. using them, we can find the last one, E.

47 + 47 = 94

180 - 94 = e

WhiCH IS....

DRUMROLL...

86!

:D

Marcus is trying to lose weight for next football season, Four weeks into his diet, he weighed 232
pounds. At nine weeks, he weighed 224.5 pounds. How many weeks will it take Marcus to reach his
goal weight of 214 pounds?

1 Polygon Q is a scaled copy of Polygon using a scale factor of 2. Polygon Q's area is what fraction of Polygon P's area?​

help please please please please please please please please​

if l is parallel to m, find the value of each missing variable(s)

how can you multiply 1/3 so that the fraction you get you can simplify back to 1/3?

Solve for the indicated variable. 5y + 4x = 6 for x
solve for x
x=

the average weight of a nine-banded armadillo is 4.5 kilograms what is the armadillo average weight in pounds?(1kg =2.2 Ib )

Solve for y:
-9.6 - y + 4.4y = -1.5

In a school of 450 students, 48% are
girls. How many are girls?​

Karen bought cupcakes for her sister's birthday party. 3 cupcakes had sprinkles on top. The other 27 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?

The science club and the French club both ordered pizzas for their end-of-year banquets. After the banquets, the science club had 1 1/4 pizzas leftover and the French club had 2 5/24 pizzas leftover. Between the two clubs, how many total pizzas were leftover?

A. 23/24

B. 1 1/4

C. 3 1/4

D. 3 11/24

Jason earns $28 for every 4 lawns he mows.

PLZ HELP ME IM GIVING 40 POINTS
. Jason earns $28 for every 4 lawns he mows. If he wants to make $140, how many lawns does he need to mow?

Please help!
(Please do not answer with links or “idk but good luck”)

2(4z + 9) = 34

can someone please help me asapp, I’ll mark brainlist!!!

Help Simplify 6(x + 4).

Parallel to y=-3x+4, x-intercept at 4

You have the opportunity to run the helium balloon stand at the Alexander County Fair. Your start-up supplies will cost $60. It will cost $.05 to fill each balloon you sell with helium. You are going to sell each balloon for $1.25. Find your break-even point. How many balloons will you need to sell in order to break- even?​

A customer was so happy with your service that they wanted to give you a 15% tip on the price of the car. If their car costs $43,780, how much would they pay you in tip?

I need some help, please

What is the solution to the following system of equations? 3x-2y=19y=X - 7

HELP I CANT GET A BAD GRADE

The gestation period is the length of the time it takes a baby mammal to develop before it is born. The gestation period of a horse is, on average, 336 days. About how many weeks is that? There are 7 days in a week.

A.
50 weeks

B.
60 weeks

C.
40 weeks

D.
5 weeks

Graph the linear equation and create a table of values

5.) y= -5x

Look at the graph. Which of the following statements is false?

Given: m || n, ∠1 ≅ ∠3
Prove: p || q

James and mark are delivering newspapers. If James delivers 100 papers in one hour and Mark delivers
150 papers in two hours, how long will it take both of them working together to deliver 1225
newspapers?

James walk to school 12 out of 20 days which value is equivalent to the fraction of days James walk to school

A plumber charges a fixed rate of $40 per job plus $10 for each hour, h, that he works at the job. Which equation models the total amount the plumber charges, y, if he works h hours?

Need all the answers

if you have 50$ and want something that cost 28$, how much money would you have

a)23
b)35
c)42
d)3.2
e)22

1.The growth of a sample of bacteria can be modeled by the function b(t)=100(1.06)t where b is the number of bacteria and t is time in hours.

What is the number of total bacteria after 3 hours?