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39 votes
39 votes
Find the measure of angle A.
66°
x +49
x+83

Find the measure of angle A. 66° x +49 x+83-example-1
User Kaushik
by
3.2k points

2 Answers

12 votes
12 votes

Answer:

40

Explanation:

From triangle law ,

66 + x +49 + x+83 = 180

or, 198 + 2x = 180

or, 2x = 180 -198

or, 2x = -18

hence, x = - 9

Now angle A = x + 49

= (-9) + 49

= 40

Hence, answer is 40.

User Bgshi
by
2.3k points
23 votes
23 votes

Explanation:

Since , internal sum of angle of triangle is 180°

So,

66 + x +49 + x+83 = 180

or, 198 + 2x = 180

or, 2x = 180 -198

or, 2x = -18

hence, x = - 9

Now angle A = x + 49

= (-9) + 49

= 40

Hence measure of angle A is 40°.

User Vadim Fedorenko
by
2.6k points