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2. Find the measure of angle A.

Make sure to show all work.

Answer:

2. Find the measure of angle A. Make sure to show all work. Answer:-example-1

2 Answers

3 votes

Answer:

∠A = 80°

Explanation:

The left vertex of the triangle = 4x - 3 ( vertical angles )

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

125° is an external angle of the triangle, thus

5x + 20 + 4x - 3 = 125, that is

9x + 17 = 125 ( subtract 17 from both sides )

9x = 108 ( divide both sides by 9 )

x = 12

Hence

∠A = 5x + 20 = (5 × 12) + 20 = 60 + 20 = 80°

User Jose Praveen
by
5.5k points
3 votes

Answer:

5x + 20 + 4x - 3 + 55 = 180

9x + 72 = 180

9x= 180 - 72

x= 16.2

5 × 16.2 + 20 = 101

A = 101

sorry wrong answer

User Andrew Au
by
5.4k points