Question

The following angles are supplementary to each other.

Answer 1

The value of x in given angles is 36°

What are supplementary angles?

When the sum of two angles is 180°, then they are said to be supplements of each other.

Given are two angles which are supplements of each other,

Then according to definition of supplementary angles,

m∠A+m∠B = 180°

(2x − 27)°+(3x + 27)° = 180°

2x+3x = 180°

5x = 180°

x = 180°/5

x =  36°

Hence, The value of x in given angles is 36°

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Answer 2

Answer:

36

Step-by-step explanation:

(2x - 27) + (3x + 27)= 180 (supplementary)

2x - 27 + 3x + 27 = 180

2x + 3x + 27 - 27 = 180

5x + 0 = 180

180 ÷ 5 = x

36 = x