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What is the measure of∠A in the triangle shown?

What is the measure of∠A in the triangle shown?-example-1
User Ralphy
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2 Answers

3 votes

Answer:

23

Explanation:

User Sudo Make Install
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4 votes

Answer:

m∠A = 70°

Explanation:

The dashes on line segments AB and AC mean that they are equal in length. Therefore, the triangle is an isosceles triangle. This means that the two base angles, ∠B and ∠C are congruent.

Interior angles of a triangle sum to 180°. Therefore:

⇒ m∠A + m∠B + m∠C = 180°

⇒ m∠A + 55° + 55° = 180°

⇒ m∠A + 110° = 180°

⇒ m∠A + 110° - 110° = 180° - 110°

⇒ m∠A = 70°

User Sonny
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