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

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

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

$\angle VRW=(3\times 18)^\circ$

$\angle VRW=54^\circ$

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.

Answer 2

Answer:

126

Step-by-step explanation:

i just got the right answer