Question

In triangle abc angle a minus angle b e is equal to 33 degrees and angle b minus angle c is equal to 180 degrees find measure of each angle of a triangle

Answer 1

Answer:

In a triangle ABC

= Angle A - Angle B =33

=Angle B - Angle C =18

= we have find the value of all angle

= we know the sum of all interior angle of a triangle os 180

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

= We know that:

= Angle A - Angle B =33

= AngleB - Angle C = 18

=Rewrite as:

= Angle A=33+ Angle B

=AngleC = Angle B -18

= Now put the value

= 33+Angle B + Angle B +Angle B - 18=180

= 3 Angle B + 15 =180 ..( 18- 3= 15 )

= 3 Angle B =165 ..( 180-15 =165 )

= Angle B =55 ...( 165÷ 3 )

= Put 55 is value of B

= Angle A - Angle B = 33

=Angle A - 55 =33

=Angle A = 55+33

= 88

=Angle B - Angle C =18

=55- Angle C = 18

=Angle C = 55- 18

= 37

Hope It will Help