Question

Find the value of x for the given figure. Also, find the measures of ∠A ,∠B and ∠C​

Answer 1

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Answer 2

Answer:

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Step-by-step explanation:

angle A + angle B + angle C = 180° ( sum of all angle of triangle is 180°)

x° + (2x+2)° + (2x-7)° = 180°

x° + 2x + 2 + 2x - 7 = 180°

5x - 5 = 180°

5x = 180 + 5

5x = 185

x = 185/5

x = 37

hence angle A that is x = 37°

so angle B = 2x +2

2×37+2. ( x= 37)

74+2= 76

hence angle B = 76°

and angle C = 2x-7

2×37-7

74-7= 67°

hence angle C = 67°

verifying,

angle A + angle B + angle C = 180°

37° + 76° + 67° = 180°

180° = 180°

hence verified