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Vinil7 [7]
3 years ago
15

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

Mathematics
2 answers:
Licemer1 [7]3 years ago
8 0

Answer:

37°

Step-by-step explanation:

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

=> 4x = 150 - 2

=> 4x = 148

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

=><u> x = 37° (Ans)</u>

finlep [7]3 years ago
4 0
<h2>○=> <u>Correct option</u> :</h2><h2>\color{plum}\bold{(A) \: 37}</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

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.

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