Question

In triangle ABC, angle A + angle B - angle C=30° and angle B + angle C - angle A=45°. Find angle A,B and C.

Answer 1

$\huge\mathfrak\red{ANSWER...!!!!}$

sum of all angles triangles=180°

A+B+C=180.....(1)

given.....

A+B-C=30.....(2)

from 1 n 2....

C=75°.....(3)

B+C-A=45°

B-A= -30°....(4)

from 1,2

2a+2b=210

a+b=105....(5)

from 4 n 5

2B= 75

B=. 37.5°

A=105-37.5=67.5°

ANSWER:

A=67.5°

B=37.5°

C=75°

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