Answer :

=95°,=53°,=32°


Given,


-= 42° ___________________ (i)


-=21° ___________________ (ii)


= 42° + [From equation (i)] __________________ (iii)


= - 21° [From equation (ii)] __________________ (iv)


We know that sum of angles of triangle = 180°


P + Q + R = 180° [Sum of angles]


42° + Q + Q + Q - 21° = 180° [From equation (iii) and (iv)]


3 Q + 21°= 180°


3 Q = 159°


Q = 53°


Value of Q = 53° put in equation (iii),


= 42° +


= 42° + 53°


= 95°


Value of Q = 53° put in equation (iv),


= - 21°


= 53° - 21°


= 32°


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