Question

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

Answer 1

D

Explanation:

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

Answer 2

○=> Correct option :

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

○=> Steps to derive correct answer :

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 * 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