Question

In a triangle ABC, if angle A - angle B = 33° and angle B - angle C = 18° . Then the measure of angle A is

Answer 1

Answer:

let angle A=x

B=33

angle C=18

the sum of all the angles in a triangle

is 180

now,

A+B+C=180

x+33+18=180

x+51=180

x=180-51

x=129

Answer 2

Answer:

Given

A - B = 33

A = 33 + B

B - C = 18

-C = 18 - B

C = - 18 + B

NOW USING ANGLE SUM PROPERTY

A + B + C = 180

=> 33 + B + B + - 18 + B = 180

=> 15 + 3B =180

=> 3B = 180 - 15 = 165

=> B = 165/3 = 55

THEN A = 55 + 33

A = 88

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