Question

Given m∠P = 38° and m∠O = 70°, find m∠1.


38  72  108  142

Answer 1

The correct solution is 72

Answer 2

m∠1 = 72°

Explanation:

We know: The sum of the measures of a triangle is 180°.

Therefore we have the equation:

`m\angle P+m\angle O+m\angle 1=180^o`

We have

`m\angle P=38^o,\ m\angle O=70^o`

Substitute:

`38^o+70^o+m\angle 1=180^o`

`108^o+m\angle1=180^o` subtract 108° from both sides

`m\angle1=72^o`