Question

The diagram below shows circle O with radii OL and OK.

The measure of OLK is 35º.
What is the measure of LOK?

Answer 1

∠LOK = 110

Explanation:

Since OL = OK, ΔOLK is an isoceles triangle

Therefore, the angles opposite to the equal sides are also equal

i.e., ∠OKL = ∠OLK = 35°

Also, ∠OKL + ∠OLK + ∠LOK = 180°

⇒ 35 + 35 + ∠LOK = 180

⇒ ∠LOK = 180 - 35 - 35

⇒ ∠LOK = 110

Note: Image attach - what it would look like on a graph with circle radius = 5 units