Question

In Fig. 5.25, PQR = angle PRQ, then prove that anglePQS = angle PRT ​

Answer 1

Answer:

Anxiom 1

If a ray stands on a line, then the sum of two adjacent angles so formed is 180 degrees

i.e., the sum of linear pair is 180 degrees

Anxiom 2

if the sum of two adjacent angles is 180 degrees then the two non common arms of a angles form a line

The two anxioms given above together are called the linear pair anxioms.

Given,

angle PQR = angle PRQ

To Prove:

angle PQR = angle PRT

angle PQR = angle PRQ

il 58

To Prove:

angle PQS = angle PRT

Proof:

angle PQR + angle PQS linear pair axiom)

Answer 2

Answer:

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