Why is this divided by 2? Measure A = 31°. Click picture

Question

asked Dec 27, 2020 130k views

1 Answer

Vadimchin · Answer 1 · 2021-01-02T14:04:28+0000

ANSWER

$m\angle A = 31 \degree$

Step-by-step explanation

This is a Circle Theorem .

The angle created by an arc at the center of a circle is twice the angle created at the circumference by the same arc.

This implies that

$m\angle B=2m\angle A$

In other words;

$(m\angle \:B )/(2) =m\angle A$

$m\angle B + 298 = 360$

$m\angle B = 360 - 298 = 62 \degree$

$(62 )/(2) =m\angle A$

$m\angle A = 32 \degree$