Question

In ∆ABC,if angle A- angle B=63°and angle B- angle C=18°.find the measurement of angle B

Answer 1

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Answer 2

Answer:

45°

Step-by-step explanation:

∠A - ∠B = 63° -----> Equation 1

∠B - ∠C = 18°  ------> Equation 2

Subtracting Eq 2 from Eq 1 we get,

∠A - 2∠B + ∠C = 45°

W.K.T.,

∠A +∠B + ∠C = 180°

∠A + ∠C = 180° - ∠B

Back to the equation,

∠A - 2∠B + ∠C = 45°

180° - ∠B - 2∠B = 45°

-3∠B = -135°

∠B = 45°

Hope you understand.