Question

3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.

What is m∠SRW?

18
54
126
108

Answer 1

126

Explanation:

i just got the right answer

Answer 2

Given:

Consider the three point of second line are S, R, V instead of S, R, W.

A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point R to point U between angle T, R, V.

`\angle VRW=(3x)^\circ`

`\angle TRS=(2x+18)^\circ`

To find:

The m∠SRW.

Solution:

The figure according to the given information is shown below (not to scale).

From the below figure it is clear that,
`\angle VRW` and
`\angle TRS` are vertically opposite angles. So, their measures are equal.

`3x=2x+18`

Subtract 2x from both sides.

`3x-2x=18`

`x=18`

Using x=18 the measure of angle VRW is

`\angle VRW=(3x)^\circ`

`\angle VRW=(3* 18)^\circ`

`\angle VRW=54^\circ`

Now,

`\angle VRW+\angle SRW=180^\circ` [Linear pair]

`54^\circ+\angle SRW=180^\circ`

`\angle SRW=180^\circ-54^\circ`

`\angle SRW=126^\circ`

Therefore, the correct option is C.