How do you do this geometry

Basically, you know one of the angles, that is 62. And since y is the same angle as 62 that would also be 62. And since the straight line is 180, just subtract 180 - 62, and that equals 118. So, then I just tried to find numbers that when multiplied by 6, and then subtracted by 92, equal 118. Honestly, z was just a guessing game for me. But I do know that I got the right answer, i just didn't figure it out the right way lol.

Good luck!

lpina68 lpina68 · Answer 2 · 2022-09-15T17:18:04+02:00

Answer:

y = 118°

z = 35

Step-by-step explanation:

All 8 of the angles formed by these three lines are only two different measures. They are all either 62° or

(180°-62°) 118°.

Also, any two of the angles are either the same or they add up to 180°.

The angle marked y° and the 62° angle are called "consecutive" angles or "same-side interior angles. They add up to 180°

y + 62° = 180°

y = 118°

The angle marked y° and the angle marked (6z - 92)° are called "vertical angles" and they are equal.

6z - 92 = 118°

add 92.

6z = 210°

Divide by 6.

z = 35