Question

How does the measure of the pink inscribed angle compare with the measure of the blue intercepted arc? How do you know?

Answer 1

The pink angle is half the angle subtended by the blue arc.

Explanation:

Given

See attachment for circle

Required

Compare the pink angle to the blue arc

Let the pink angle be x and the angle subtended by the blue arc be y.

So, we have:

`x \to` angle at circumference

`y \to` angle subtended by arc

The relationship between x and y is:

`y =2x`

Make x the subject

`x = (1)/(2)y`