Question

in the given figure,​

Answer 1

Answer:

Step-by-step explanation:

∠ ABE and ∠ABC are supplementary angles

⇒ ∠ ABE + ∠ABC = 180 °

⇒ 139° + ∠ABC = 180°

⇒∠ABC = 180 ° - 139° = 41 °

∠ ACD and ∠ACB are supplementary angles

⇒ ∠ ACD + ∠ACB = 180 °

⇒ 156° + ∠ACB = 180°

⇒∠ACB = 180 ° - 156° = 24°

Sum of the angles in a triangle = 180 °

⇒ ∠ABC + ∠ACB + ∠BAC = 180 °

⇒ 41° + 24° + ∠BAC = 180°

⇒ 65° + ∠BAC = 180°

⇒ ∠BAC = 180° - 65°

⇒ ∠BAC = 115°