Question

In triangle ABC, angle B is twice as large as angle A. Angle C measures 20° more than angle A. Find the measures of the angles.

Answer 1

In triangle ABC, angle A measures 40 degrees, angle B measures 80 degrees, and angle C measures 60 degrees.

Step-by-step explanation:

To find the measures of angles in triangle ABC, we need to set up equations using the given information.

Let's denote angle A as x.

Angle B is twice as large as angle A, so angle B = 2x.

Angle C measures 20 degrees more than angle A, so angle C = x + 20.

Since the sum of angles in a triangle is always 180 degrees, we can write the equation: x + 2x + (x + 20) = 180.

Solving this equation, we find that x = 40.

Therefore, angle A measures 40 degrees, angle B measures 80 degrees, and angle C measures 60 degrees.