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 = [tex]\frac{1}{2}(\widehat{AC}+\widehat{BD})[/tex]
143° = [tex]\frac{1}{2}[(x+5)+(x-5)][/tex]
143° = x
Therefore, Option (3) will be the answer.
