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°