Question

In a triangle ABC if <A-<B=33 and <B-<C =18 than the measure of <A is
(a) 30
(b)75
(c) 90
(d) 60​

Answer 1

Answer:

Given A-B = 33

So A = 33+B.........(i)

B-C = 18

C = B-18...........(ii)

In a triangle

A+B+C = 180

33+B+B+B-18 = 180 ( FROM i and ii)

3B+15 = 180

3B = 165

B = 165/3

B = 55

From i

A = 33+B

A = 33+55

A = 88

From ii

C = B -18

C = 55-18

C = 37

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