Question

Task 3: Use the diagram to find the measure of the angle indicated. Explain your reasoning.

B
50
mZABC =?

Answer 1

m∠ABC = 130°

Explanation:

Since ∠ABE ≅ ∠CBD [vertical angles]

(Vertical angles are the vertically opposite angles between two lines intersecting at a point.)

m∠ABE = m∠CBD = 50°

m∠ABE + m∠ABC = 180°

50 + m∠ABC = 180

m∠ABC = 130°

Therefore, m∠ABC = 130° will be the answer.