In the given figure PO \(\bot \) AB If x:y:z=1:3:5 then find the degree measure of x,y and z

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(a)

If two lines intersect each other, then the vertically opposite angles are equal. prove it

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(a)

In the given figure , two straight lines PQ and RS intersect each other at O
If \(\angle \)POT =\(75^{ 0 }\) Find the values of a,b,c

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(a)

If two lines are perpendicular to the same line prove that they are parallel to each other.

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(a)

If l,m,n are three lines such that l || m and n \(\bot \) l , then prove that n \(\bot \)m

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(a)

In figure if AB || CD then find the value of y.

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In figure PQ || RS and T is any point as shown in the figure then show that
\(\angle PQT+\angle QTS+\angle RST=360^{ 0 }\)

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In figure sides QP and RQ of PQR are produced to points S and T respectively if \(\angle SPR=135^{ 0 }\) and \(\angle PQT=110^{ 0 }\) find \(\angle \)PRQ

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(a)

In the given figure, AB||DC, \(\angle BDC=35^o\) and \(\angle BAD=80^o.\) Find x,y,z

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(a)

In the above figure ABCD is a quadrilateral in which \(\angle ABC=73^o,\angle C=97^o\) and \(\angle D=110^o\). If AE||DC and BE||AD and AE intersects BC at F, find the measure of \(\angle EBF.\)

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(a)