Question

Hello!

I am here with a few geometry questions today.

When you answer this question please be sure to explain your answer and show work.
Good luck! Have a great day!

Answer 1

• 122°

Explanation:

Angle XYZ is straight angle and as per angle addition postulate:

• m∠XYZ = m∠XYQ + m∠QYZ
• 180 = 10a + 2 + 5a - 2
• 180 = 15a
• a = 180/15
• a = 12

m∠XYQ = 10*12 + 2 = 122°