Question

One angle of a triangle measures 76" more than the smallest, while a third angle is twice the smallest. Find the

measure of each angle
The triangle has angles of
degrees

Answer 1

26,102,52

Explanation:

Let x be the smallest angle

x+76 is the second angle

2x is the third angle

The sum of all three angles is 180 degrees

x+ (x+76) + 2x = 180

Combine like terms

4x+76 = 180

Subtract 76 from each side

4x+76-76 = 180-76

4x =104

Divide by 4

4x/4 =104/4

x =26

x+76 =26+76 =102

2x = 2*26 = 52