Question

I’ve been stuck can someone explain

Answer 1

Answer:

Option (3)

Step-by-step explanation:

From the figure attached,

AB and CD are two chords intersecting at O.

m∠AOD = 37°

m∠AOC + m∠AOD = 180° [Since these angles are supplementary angles]

m∠AOC = 180° - 37°

              = 143°

By the theorem of intersecting chords,

Measure of angle formed is the half of the sum of measures of the arcs intercepted by the angle and vertical angle.

m∠AOC = $\frac{1}{2}(\widehat{AC}+\widehat{BD})$

143° = $\frac{1}{2}[(x+5)+(x-5)]$

143° = x

Therefore, Option (3) will be the answer.