Question

Find the value of b.
Give reasons.

Answer 1

b = 72

Explanation:

Since AB and AC are congruent then Δ ABC is isosceles with base angles also congruent, that is

∠ ACB = ∠ ABC = b

the sum of the 3 angles in the triangle is 180° , then

b + b + 36 = 180

2b + 36 = 180 ( subtract 36 from both sides )

2b = 144 ( divide both sides by 2 )

b = 72