Question

in triangle ABC, angle A + angle B =100 degrees and angle B + angle C =130 degrees. find the measure of each angle​

Answer 1

Answer:

∠A is 50°, ∠B is 50° and ∠C is 80°. Pls mark me as brainliest.

Step-by-step explanation:

∠A + ∠B = 100°  [Given]

∠B + ∠C = 130°  [Given]

Adding the two equations

∠A + ∠B + ∠B + ∠C = 100° + 130°

∠A + 2∠B + ∠C = 230°

But, ∠A + ∠B + ∠C = 180°  [Triangle Angle Sum Property]

Subtracting the two equations

∠A - ∠A + 2∠B - ∠B + ∠C - ∠C = 230° - 180°

∠B = 50°

∠A + ∠B = 100°

∠A + 50° = 100°

∠A = 100° - 50°

∠A = 50°

50° + ∠C = 130°

∠C = 130° - 50°

∠C = 80°