Question

Given the following diagram, find the missing measures.​

Answer 1

∠ O = 72°

Explanation:

Since ∠ O = ∠ P and ∠ I = 36°

The sum of the 3 angles in a triangle = 180°, thus

∠ O =
`(180-36)/(2)` =
`(144)/(2)` = 72°

Answer 2

Angle O and P are the same.

Subtract angle 1 from 180 and divide by 2:

Angle O = 180-36 /2

Angle O = 144 /2

Angle O = 72