Question

Find the angle 1

The figure shows a circle with center O. Find the angle a.
answer. a =
B = 74

Answer 1

37°

Explanation:

From circle theorem, angle subtended by an arc at the center of a circle is twice the angle subtended at any point on the circumference

Therefore,

β = 2α

Divide both sides by 2

α = β/2

β = 74°

Slot in the value of β

α = 74/2

α = 37°