Question

Find the value of x. A. 51 B. 76.25 C. 129 D. 25.25

Answer 1

`\Huge \boxed{\mathrm{C. \ 129 }}`

Explanation:

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