Question

In the given figure, it is given that PQ || RS, ZMRS = 116º and Z PMR = 118°. Determine the value of x. P xo MO118° 116° ° >S R​

Answer 1

Answer:

Step-by-step explanation:b126

Answer 2

Answer:

126

Step-by-step explanation:

First we will have to draw a line from point M parallel to PQ and RS so that it divides the angle PMR into two parts. Let this line be MD.

Now, the angle PMR is divided into two parts, angle PMD and DMR. Let these angles be 118-y and y respectively.

Now we know that angle DMR and angle MRS add up to 180. So y+116 = 180, y = 64

Since y = 64, 118-y will be 118-64 = 54 , which is angle PMD

Again, angle PMD and QPM add up to 180, so 54+x = 180 and x = 126