Question

In a ∆ABC, if ∠A − ∠B = 60° and ∠B − ∠C = 30°, then the measure of ∠A, ∠B and ∠C is

Answer 1

Answer:

∠A = 110  ∠B = 50  ∠C = 20

Step-by-step explanation:

∠A = 60 + ∠B

∠B = ∠B

∠C = ∠B - 30

SUM OF ANGLES OF TRIANGLE = 180 DEGREE

60 + ∠B + ∠B + ∠B - 30 = 180

3∠B = 180 - 30

3∠B = 150

∠B = 50.

∠A = 60 + ∠B

     = 60 + 50

∠A = 110

∠C = ∠B - 30

     = 50 - 30

∠C =  20

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