Question

in the given figure PQ R S T U R the three straight lines intersecting each other at point O if angle p o r is equal to 30 degree and q OU equal to 90 degree find angle t o s​

Answer 1

Question

Math

Secondary School

answered

In the given figure PQ and RS are two lines intersecting each other at point 'O'.If angle ROT is 90 degree, find the value of x,y,z.

please give the ans as fast as possible.

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Answer

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TidyMouse

Helping Hand

8 answers

583 people helped

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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