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  • 16-09-2020
  • Mathematics
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Task 3: Use the diagram to find the measure of the angle indicated. Explain your reasoning.
B
50
mZABC =?

Task 3 Use the diagram to find the measure of the angle indicated Explain your reasoning B 50 mZABC class=

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eudora eudora
  • 21-09-2020

Answer:

m∠ABC = 130°

Step-by-step 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.

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