Mathematics
heathermorgan0
70

One angle of a triangle has a measure of 66. The measure of the third angle is 57 more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180. What is the measure of the second angle? What is the measure of the third angle?

+7
(1) Answers
12mexican1234Jackie

[latex]180=66+x+(57+\frac{x}{2})[/latex] [latex]360=132+2x+114+x[/latex] [latex]360=246+3x[/latex] [latex]3x=114[/latex] [latex]x=38[/latex] The second angle is 38deg. The third angle is 76deg. To check: 66+38+76=180                           180=180 ---> Checks TRUE.

Add answer