Question

in triangle abc angle B =45 degree angle c = 55 degree and bisector of angle A meets BC at a point O find angle ADB and angle ADC

Answer 1

By using the sum of angles in a triangle and the fact that the line AD is the bisector of angle A, both angles ADB and ADC can be calculated to be 40 degrees.

Step-by-step explanation:

In triangle ABC, with angle B = 45 degrees, and angle C = 55 degrees, the bisector of angle A meets BC at point O. Using the given information, we can find angle ADB and angle ADC.

First, we know that the sum of the angles in a triangle is 180 degrees. So, Angle A = 180 - (Angle B + Angle C) = 180 - (45 + 55) = 80 degrees.

Since line AD is the bisector of angle A, angle ADB = angle ADC = Angle A/2 = 80/2 = 40 degrees. So, both angle ADB and angle ADC are 40 degrees.

Learn more about Angles in a Triangle