Question

In the given figure, PQ and RS are two lines intersecting each other at point ‘O’. If ROT =90°, find the value of x, y, and z


please send me full equation ​

Answer 1

Answer:

angle ROT =90

as given in diagram,

angle POR=2x

POR + ROQ= 180 (ANGLES IN A LINEAR PAIR)

2x + ROT +ROQ =180

2x+90 +x= 180

3x=180-90

3x=90

x=90/3

x=30

ROQ =90 +30 =120

z=ROQ =120 (vertically opposite angles)

y=POR =2x30 =60 (vertically opposite angles)

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