Question

Using the following image , find the value for x

Answer 1

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.

$\longrightarrow$ (x + 13) + (4x + 2) = 180°

$\longrightarrow$ x + 13 + 4x + 2 = 180°

$\longrightarrow$ 5x + 15 = 180°

$\longrightarrow$ 5x = 180° ― 15

$\longrightarrow$ 5x = 165°

$\longrightarrow$ x = 165° ÷ 5

$\longrightarrow$ x = 33°

Therefore, the value of x is 33°.

Quick Check!

$\longrightarrow$ x + 13

$\longrightarrow$ (33 + 13)°

$\longrightarrow$ 46°

And, another angle :

$\longrightarrow$ (4x + 2)°

$\longrightarrow$ {4(33) + 2}°

$\longrightarrow$ (132 + 2)°

$\longrightarrow$ 134°

★ Sum of the angles should be 180° :

$\longrightarrow$ (x + 13) + (4x + 2) = 180°

$\longrightarrow$ 46° + 134° = 180°

$\longrightarrow$ 180° = 180°

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