Question

in triangle pqr right angled at Q in figure PQ is equal to 3 cm and PR is equal to 6 CM determine the angle pqr and prq​

Answer 1

sinR=PQ/PR

=3/2

=1/2

But,sin30=1/2

Thus, sinR=sin30

R=30

prq=R=30

cosP=PQ/PR

=1/2

But , cos60=1/2

cosp=cos60

P=60

qpr=60

Answer 2

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 ❤