Question

Find the measures of ∠B and ∠C given that m∠B=(2.5x+6)∘ and m∠C=(7x−12)∘.

The figure shows triangle A B C. Side A B is congruent to side A C.


answers are one of the following
∠B = 4° and ∠C = 4°
∠B = 16° and ∠C = 16°
∠B = 20° and ∠C = 20°

Answer 1

since AB=AC it is an isosceles triangle so ...

Explanation:

angle B = angle C

2.5x + 6 = 7x - 12

4.5x = 18

therefore x = 4

substituting the value of x we get answer

angle B = 16

angle C = 16