Question

in triangle abc side ac has produced to d angke bcd=125° and angle A:angle B=2:3, find the measure of angleA and angleB​

Answer 1

Answer:

Angle A = 50 Angle B = 75

Step-by-step explanation:   Angle BCD=125

Then, ACB = 180 degree - 125 (Linear Pair) =180-125=55 Angle C = 55

Given, Angle A : Angle B = 2:3  Let Angle A = 2x  Angle B = 3x

Angle A + Angle B + Angle C = 180 (Angle sum property)

2x + 3x + 55 Degree = 180 Degree

5x = 180-55 = 125

x = 25

Angle A 2x = 2 * 25 = 50

Angle B 3x = 3 * 25 = 75