Solve.
-In a triangle, the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 144 degrees more than the second angle. What is the measure of the first angle?
A)24°
B)54°
C)6°
D)150°

Question

Quizplus · Accepted Answer

The first angle is four times the second angle, so the first angle is 4x and the second angle is x. The third angle is 144 degrees more than the second angle, so the third angle is x + 144. The sum of the angles in a triangle is 180 degrees, so 4x + x + x + 144 = 180. 6x + 144 = 180. 6x = 36. x = 6. The first angle is 4x, so the first angle is 4(6) = 24 degrees.

Solve. -In a Triangle, the Measure of the First Angle Is