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alexira [117]
2 years ago
12

The angles shown are supplementary. What is the value of x ?

Mathematics
2 answers:
almond37 [142]2 years ago
5 0

Answer:

D

Step-by-step explanation:

This is because if u subsitute x with 17, 17x5 is 85 and 85+95= 180

Klio2033 [76]2 years ago
4 0
<h2>○=> <u>Correct option</u> :</h2>

\color{plum}\tt\bold{(D)  \: 17}

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Given :

▪︎Angle (5x)° and angle 95° are supplementary angles.

Which means :

= \tt5x + 95 = 180

= \tt5x = 180 - 95

= \tt5x  = 85

\hookrightarrow\tt \color{plum}x  = 17

Thus, the value of x = 17

Let us check whether or not we have found out the correct value of x by placing 17 in the place of x:

=\tt5 \times 17 + 95 = 180

=\tt 85 + 95 = 180

=\tt 180 = 180

Since the sum of both angles is equivalent to 180[85+95=180], we can conclude that we have found out the correct value of x.

Therefore, the correct option is (D) 17

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