Question

In △XYZ, angle X is the smallest angle, angle Y is 40 degrees more than angle X, and angle Z is 2 times the measure of angle X. What is the measure of angle X?

Answer 1

x=35° y= 75° z = 70°

Explanation:

Y = x+40 (known)

z = 2x (known)

x + y + z = 180 (triangle property)

x + (x+40) + 2x = 180 (substitution)

4x + 40 = 180

4x = 140

x = 35

y = x + 40 = 75

z = 2x = 70