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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?

Respuesta :

twvogels
[tex]180=66+x+(57+\frac{x}{2})[/tex]
[tex]360=132+2x+114+x[/tex]
[tex]360=246+3x[/tex]
[tex]3x=114[/tex]
[tex]x=38[/tex]

The second angle is 38deg. The third angle is 76deg.

To check: 66+38+76=180
                          180=180 ---> Checks TRUE.

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