Question

What is the value of x in the figure please help I’ll give you brainliest :)

Answer 1

Answer:

37°

Step-by-step explanation:

(4x + 2)° = 150° [Vertically Opposite Angles]

=> 4x = 150 - 2

=> 4x = 148

$= > x = \frac{148}{4}$

=> x = 37° (Ans)

Answer 2

○=> Correct option :

$\color{plum}\bold{(A) \: 37}$

○=> Steps to derive correct option :

Angle (4x+2)° and angle 150° are vertically opposite angles so, their measures will be equal.

Which means :

$=\tt 4x + 2 = 150$

$=\tt 4x = 150 - 2$

$= \tt4x = 148$

$=\tt x = \frac{148}{4}$

$\hookrightarrow \: \color{plum}x = 37$

Let us check whether or not we have found out the correct measure of x by placing 37 in the place of x:

$=\tt 4 \times 37 + 2 = 150$

$= \tt148 + 2 = 150$

$=\tt 150 = 150$

Since the measures of both the angles are equal we can conclude that we have found out the correct value of x.

Thus, the value of x in this figure = 37

Therefore, the correct option is (A) 37.