Using the following image , find the value for x

Step-by-step explanation:

Here, two angles i.e, (x + 13)° and (4x + 2)° are forming a straight line, thus the sum of these two angles will be 180° because they are forming a linear pair.

(x + 13) + (4x + 2) = 180°

x + 13 + 4x + 2 = 180°

5x + 15 = 180°

5x = 180° ― 15

5x = 165°

x = 165° ÷ 5

x = 33°

Therefore, the value of x is 33°.

Quick Check!

x + 13

(33 + 13)°

46°

And, another angle :

(4x + 2)°

{4(33) + 2}°

(132 + 2)°

134°

★ Sum of the angles should be 180° :

(x + 13) + (4x + 2) = 180°

46° + 134° = 180°

180° = 180°

L.H.S = R.H.S, hence verified!

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