In the given figure, side BC of ABC is produced to D. If
=128° and
=43°,Find
and
.
∠BAC = 85°, ∠ACB = 52°
Given, =128° and
=43°
In triangle ABC,
∠ACB + ∠ACD = 180° [Because BCD is a straight line]
⇒ ∠ACB + 128° = 180°
⇒ ∠ACB = 52°
∠ABC + ∠ACB + ∠BAC = 180° [Sum of angles of triangle ABC]
⇒ 43° + 52° + ∠BAC = 180°
⇒ ∠BAC = 85°