Pls ! it's 2: 30am here and this is due at 7: 30 pls ! i also need explanation of how to do this cuz idk how to

m∠1 = 112°

Consider x and 68° only. They are considered supplementary angles (angles that add up to 180°)

So,

m∠1 + 68 = 180

m∠1 = 180 - 68

m∠1 = 112°

m∠3 = 68°

Do the same thing as m∠1. Consider the two angles that would add up to 180, m∠1 and m∠3.

Since we know m∠1, we can easily solve m∠3.

So,

m∠3 + m∠1 = 180

m∠3 + 112 = 180

m∠3 = 180 - 112

m∠3 = 68

By now, you have noticed, why is the same as the other angle next to m∠1? This is because they are vertical angles. This is called vertical angle congruence theory.

m∠4 = 22

This is almost the same as solving for m∠3 and m∠1. The only difference is we conclude two angles that are complement to each other (angles that add up to 90°)

So,

m∠3 + m∠4 = 90

68° + m∠4 = 90

m∠4 = 90 - 68

m∠4 = 22

m∠5 = 90° (correct)

C.

Find the value of "x"

Just like we solved for the questions above, we arrange them to add up to 180°.

So,

(2x + 11) + (6x - 7) = 180

2x + 11 + 6x - 7 = 180

2x + 6x + 11 - 7 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176 ÷ 8

x = 22°

Check:

2x + 11 + 6x - 7 = 180

2(22) + 11 + 6(22) - 7 = 180

44 + 11 + 132 - 7 = 180

55 + 125 = 180

180 = 180 (correct)

Good luck sleeping

answer: howdy

step-by-step explanation: