In triangle PQR, if P - Q = 42o and Q - R = 21o, find P, Q and R.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

P - Q = 42o and Q - R = 21o

P = 42o + Q and R =Q - 21o
Now, P +42o + Q + R. = 180o
    42o + Q + Q + Q - 21o = 180o
     3Q = 180o – 21o = 159o
Q = 53o 
 P = 42o + 53o = 95o        R =53o - 21o = 32o
Hence, P = 95o, Q = 53o and R = 32o

Answered by  | 4th Jun, 2014, 03:23: PM