Questions: Find the values of x and y from the diagrams below.

Transcript text: Find the values of $x$ and $y$ from the diagrams below.

Solution

Solution Steps

Step 1: Find x

Angles subtended at the circumference of a circle by the same arc are equal. Therefore, x = 60°

Step 2: Find y

Vertically opposite angles are equal. The angle vertically opposite to the given 60° is also 60°. Angles in a triangle add up to 180°. In triangle BCD, two angles are x = 60° and the vertically opposite angle to 60°, which is also 60°. Therefore, y = 180° - 60° - 60° = 60°