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What is the measure in each angle? A? B? C?

What is the measure in each angle? A? B? C?-example-1
User Flowera
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1 Answer

5 votes

Answer:

∠A = 48°, ∠B = 48°, and ∠C = 84°

Explanation:

AB = CB Given

m ∠A = m ∠C If opposite sides are =, then those opposite angles are =

6(x - 3) = 4(x + 1)

6x - 18 = 4x + 4

2x - 18 = 4

2x = 22

x = 11

m ∠A = 6(11 - 3) = 6(8) = 48°

m ∠C = 4(11+ 1) = 4(12) = 48°

The sum of the angles in a triangle = 180°

48° + 48° m ∠B = 180°

96°+ m ∠B = 180°

84° = m ∠B

User Onder OZCAN
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