Question

in figure find measure of angle ABC angle ACB​

Answer 1

: ➠ Given :-

➵ ∠A = 40°

➵∠ ACD = 100°

: ➠ To Find :-

➵ ∠ABC

➵∠ACB

: ➠ Solution :-

we know that,

☞ sum of two interior angle of a triangle is equal to the exterior angle

so,

⟹ ∠A +∠ABC = ∠ACD

⟹ 40° + ∠ABC = 100°

⟹ ∠ ABC = 100° - 40°

∴ ∠ABC = 60°

we know that,

☞ sum of all the interior angles of a triangle is 180°.

⟹ ∠A + ∠ABC +∠ACB = 180°

⟹ 40° + 60° + ∠ACB = 180°

⟹ ∠ACB = 180° - 100°

∴ ∠ ACB = 80°

: ➠ Answer :-

➵∠ABC = 60°

➵∠ACB = 80°