Question

Find the measure of ∠X

2 problems only and please show work and explain how you got the answer so that way I can understand what you're doing and how to solve the other problems on my work sheet.

Answer 1

• 7) 65°
• 8) 25°

Explanation:

Question 7

Angle formed by 2 chords is half of the sum of the intercepted arcs

• x = 1/2(72° + 58°) = 1/2(130°) = 65°

Question 8

Angle formed by 2 secants is half of the difference of the intercepted arcs

• x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°