Find the measure of the smallest angle of the triangle. The top of the triangle is 96° the bottom left is 2 x the right on x + = 12

Answer 1

Let x be the measure of the angle to the right.

Since the bottom left angle is 2 times the right angle, we have 2x.

And since the top angle is 96°, we have:

x + 2x + 96 = 180
3x + 96 = 180
3x = 84
x = 28

Therefore, the measure of the smallest angle of the triangle is x, which is 28°.