The measures of two of the angles in a triangle are green. Find the measure of the thirs angle. Show your calculations to support your answer.
5-8?

The measures of two of the angles in a triangle are green Find the measure of the thirs angle Show your calculations to support your answer 58 class=

Respuesta :

In a triangle, the three interior angles always add to 180°

5
m∠3 = 180 - 126.5 - 19 = 34.5°

6
m∠3 = 180 - 65.5 - 85 = 29.5°

7
m∠3 = 180 - 98.3 - 37.5 = 44.2°

8
m∠3 = 180 - 31 - 113 = 36°
Angles in a triangle add up to 180°. 
So all we have to do is subtract the 2 angles we know from 180:

For question 5, we subtract 126.5° and 19° from 180°:
180 - 126.5 - 19 = 34.5°

The same principle applies for the rest.

Question 6:
180 - 65.5 -85 = 29.5°

Question 7:
180 -98.3 -37.5 = 44.2°

Question 8:
180 - 31 - 113 = 36°