Question

Q.2 In triangle ABC, AB =AC and D is the midpoint of BC and angle B =55degree
, then find angle BAD.

Answer 1

Answer:

Given triangle ABC where AD is the angular bisector and B=45, C=55

As sum of all the angles of the triangle is 180 A=80

As AD is the angular bisector, angle BAD and CAD are 40 degrees each

Now consider two triangles i.e ADB and ADC

We know the two angles each in these two triangles and can apply the formula of Sum of all the angles of a triangle is 180 degrees to get angleADB and angleADC

B+ angleADB+ angleBAD= 180

45+angleADB + 40 = 180

angleADB = 95

C + angleCAD + angleADC = 180

55+40+ angleADC = 180

angleADC= 85

Explanation:

Hope it is helpful for you