Question

in triangle ABC A+B=84 AND B+C =146. FIND measures of each angle of triangle

Answer 1

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Answer 2

Ans: Given: 1. Triangle ABC.

2. Angle A + angle B = 84.

3. Angle B + angle C = 146.

To find: measure of all the angles.

Solve: In triangle ABC by angle sum property of triangle

Angle A + Angle B + Angle C = 180 degree.

84 + angle C = 180

Angle C = 180 - 84 = 96.

And,

Angle B + angle C = 146.

Angle B + 96 = 146.

Angle B = 146 - 96 = 50.

Also,

Angle A + Angle B = 84.

Angle A + 50 = 84

Angle A = 84 - 50 = 34.