Question

Find the measures of ∠B and ∠C. PLEASE HELP!!

Answer 1

It's an isosceles triangle, therefore m∠B = m∠C.

We have the equation:

2x + 10 = 3x - 5      subtract 10 from both sides

2x = 3x - 15     subtract 3x from both sides

-x = -15     change the signs

x = 15

m∠B = (2x + 10)°

m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°

We know, the sum of measures of a tringle is equal 180°.

m∠A + m∠B + m∠C = 180°

m∠B = m∠C = 40°

Answer: ∠B = 40° and ∠C = 40°