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Question

In a PQR, if P - Q = 42° and Q - R = 21°, find P, Q and R.

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Solution

In PQR, we have,P-Q = 42° P=Q + 42° ...(i)Also, Q -R = 21°R =Q - 21° ...(ii)We know that P +Q+R =180° .....(iii) Substituting the values from (i) and (ii) in (iii), we get,42°+Q+Q+Q-21° = 180°21°+3Q = 180°3Q = 159°Q = 53°Now, from (i), we have,P = 42°+53° = 95°Also, from (ii), we have,R = 53°-21° = 32°

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