Question

in triangle PQR if angle P minus Q =42° and angle Q minus R = 21° find PQR​

Answer 1

Answer:

P=95°

Q=53°

R=32°

Step-by-step explanation:

for a triangle, sum of all angles= 180°

=> P + Q + R = 180°............1

given , P-Q = 42° => P = 42°+Q.....2

also, Q-R = 21° => R = Q-21°..........3

putting value of P&Q in equation 1

we get, (42+Q) + Q + (Q-21) = 180

=> 3Q +21 = 180

=> 3Q = 159

=> Q = 159÷3 = 53

putting value of Q in equation 2& 3

we get,

P= 42°+53°

=> P=95°

R = Q-21° = 53°-21°

=> R=32°