Question

Find the value of x please

Answer 1

A. 40°

Explanation:

AO = CO = radius

AO = CO ⇒ AB = BC and m∠AOB = m∠BOC = ¹/₂m∠AOC

From BDOE:

m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°

(65° + 75°) + 90° + x + 90° = 360°

140° + 180° + x = 360°

x = 40°