7. In the figure given below angle pqr =angle prq then prove that angle pqs =angle prt
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Step-by-step explanation:
angle pqr = angle prq
so, for understanding, in place of angle prq, we can put angle pqr ( since both are equal)
angle pqs = 180 - angle pqr ( adjacent angles are supplementary)
angle prt = 180 - angle prq ( adjacent angles are supplementary) —> but here we can put angle pqr in place of prq as both are equal
so, angle pqs = 180— angle pqr
angle prt = 180 — angle pqr
hence, angle pqs = angle prt
hope it helps you...
Answered by
1
Question :-
In figure, ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.
Answer :-
ST is a straight line.
∴ ∠PQR + ∠PQS = 180° …(1) [Linear pair]
Similarly, ∠PRT + ∠PRQ = 180° …(2) [Linear Pair]
From (1) and (2), we have
∠PQS + ∠PQR = ∠PRT + ∠PRQ
But ∠PQR = ∠PRQ [Given]
∴ ∠PQS = ∠PRT
Plz mrk as brainliest ❤
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