Question

Find out angle PXR, if PQ || RS.
Please explain step by step. ​

Answer 1

Step-by-step explanation:

PQ and RS both parallel to each other.

now draw line from P to R.

then angle R and angle P become 90 degree.

Now we make triangle PRX

=> Remaining R = 90-50 = 40 degree

=> Remaining P = 90-70 = 20 degree

Some of triangles angles = 180

=> 40+20+x = 180

=> x = 180-60

=> x = 120 degree.

Answer 2

Given, PQ||RS, ANGLE QPX=70°, ANGLE SRX=50°

Construction: Extend P to A and R to B. Draw a line through X parallel to A till Y.

Since, AQ||XY

ANGLE YXP=ANGLE QPX (ALTERNATE INTERIOR ANGLES)

Since, BS||XY

ANGLE YXR=ANGLE XRS (VERTICALLY OPPOSITE ANGLES)

So, ANGLE PXY=70°

ANGLE YXR=50°

We have to find ANGLE PXR.

ANGLE PXR=ANGLE PXY+ANGLE YXR

Therefore, ANGLE PXR=70°+50°

ANGLE PXR=120°

Hope it helps you dear.