Question

7. Find the value of x:

I
940
129°
А
1450
B 35°
C 86°
D
1290

Answer 1

C. 129

Apply : Angles of Intersecting Chords Theorem

m∠x is half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

m∠x = 1/2(54+204)

Add numbers in brackets.

m∠x = 1/2(258)

Expand brackets.

m∠x = 129