Question

In a​ triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 64 degrees more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 degrees° to find the measure of each angle.

Answer 1

X = first angle
y = second angle
z = 3rd angle

x + y + z = 180
x = 2y
z = y + 64

2y + y + y + 64 = 180
4y + 64 = 180
4y = 180 - 64
4y = 116
y = 116/4
y = 29 <=== 2nd angle

x = 2y
x = 2(29)
x = 58 <=== 1st angle

z = y + 64
z = 29 + 64
z = 93 <== 3rd angle