Question

in the given isosceles triangle the bisector of triangle y and triangle z meet at a point O if triangle x=70, find the measure of triangle yoz​

Answer 1

Answer:

x+y+z=180° (angle sum of triangles)

70°+y+z=180°

y+z=110°

oyz+ozy=1/2×110° (as they were bisectors)

oyz+ozy=55° (1)

In triangle OYZ

yoz+oyz+ozy=180° (angle sum of triangles)

yoz+55°=180° (from 1)

yoz=125°