Question

Given: △ABC with m∠B = m∠C = x/2° and m∠BAC = (2x)° Find: x, m∠BAC, and m∠B Since ∠B and ∠C are congruent, they are both supplements to ∠BAC, so:

Answer 1

In triangle ABC, x is equal to 120 degrees, angle BAC is equal to 240 degrees, and angles B and C are equal to 60 degrees each.

Step-by-step explanation:

In triangle ABC, if angle B is congruent to angle C and angle BAC is twice as large as angle B, we can solve for x, angle BAC, and angle B.

Let's solve for x: since angle B and angle C are congruent, we can set up the equation x/2 + x/2 = 180°. Simplifying this equation, we get x = 120°.

Angle BAC is equal to 2x, so substituting the value of x, we find that angle BAC is 2(120°) = 240°.

Since angle B and angle C are congruent, they are each equal to x/2 = 120°/2 = 60°.

Learn more about Angles in a Triangle