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Find the measure of angle A when two angles are congruent?

Find the measure of angle A when two angles are congruent?-example-1
User Ajsp
by
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1 Answer

24 votes
24 votes

m∡A = 70º

1) Considering that the Sum of the interior angles within a triangle is always 180º

2) We can write the following, and solve for x

x+80 + x +80 +40 = 180

2x +160 +40 = 180

2x + 200 = 180

2x =180-200

2x= -20

x=-10

3) So since angle A = x +80, we can plug it into that the value of x

m∡A = x +80º

m∡A=-10+80

m∡A = 70º

User Jinish
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3.1k points