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

Question

asked Dec 18, 2022 63.7k views

1 Answer

Blagoh · Answer 1 · 2022-12-23T08:48:00+0000

Answer:

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