Question

in a triangle abc if angle a- b=40 and angle b-c =10 degree find the measures of angle a b and c

Answer 1

Hi ,

a , b , c are angles of a triangle.

a - b = 40

a = 40 + b -----( 1 )

b - c = 10

c = b - 10 ------( 2 )

We know that ,

a + b + c = 180°

( 40 + b ) + b + ( b - 10 ) = 180°

[ From ( 1 ) and ( 2 ) ]

3b + 30 = 180°

3b = 180 - 30

3b = 150

b = 150/3 = 50°

Put b value in ( 1 ) & ( 2 )


a = 40 + 50= 90°

c = b - 10 = 50 - 10 = 40 °

Therefore ,

a = 90° , b = 50° , c = 40°

I hope this helps you.

:)