Question

) In a triangle ABC, (angle A + angle B) = 100° and (angle B + angle C) = 120°, find the value of angle A and angle C.​

Answer 1

Step-by-step explanation:

$\boxed{Sum of all the angles in a triangle is equal to 180°}$

$\underline{Given That}$

Angle A + Angle B = 100° ___eqⁿ 1

Angle B + Angle C = 120° ___eqⁿ 2

$\underline{According to the Question}$

Angle A + Angle B + Angle C = 180°

⇨On substituting eqⁿ 1 we get

100° + Angle C = 180°

Angle C = 80°

⇨On substituting eqⁿ 2 we get

Angle A + 120° = 180°

Angle A = 60°

$\boxed{Therefore, Angle A = 60° and Angle C = 80°}$