In, if -=42°and-=21°, Find,and.

=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°