Question

Below. What is m∠1?

m∠1 =

Answer 1

Given:

The figure of a triangle.

To find:

The measure of angle 1.

Solution:

Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

Using Exterior angle theorem, we get

`101^\circ =31^\circ +m\angle 1`

`101^\circ -31^\circ =m\angle 1`

`70^\circ =m\angle 1`

Therefore, the measure of angle 1 is 70 degrees.