Question

If ∠P-∠Q=42° , ∠Q-∠R=21° then find the value of ∠P , ∠Q , ∠R when PQR is a triangle.

Answer 1

P-Q=42° eqn-1

Q-R=21° eqn-2

THEN,

P=42+Q

and

R=Q-21

in∆PQR

P+Q+R=180° eqn-3

now, putting value of P and R in eqn-3,we get.

42+Q+Q+Q-21=180

=>3Q+21=180

=>3Q=180-21=159

=>Q=53°

PUTTING VALUE OF Q IN EQN-1 AND 2

WE GET,

P-Q=42

=> P=42+Q=42+53=95°

and,

Q-R=21

=>R=Q-21=53-21=32° Ans.

Hope You understand it well...

HAPPY TO HELP✌️

Answer 2

Answer:

Find your answer in the attachment. Hope this will help.