Q. 50

# If the vertical angle of a triangle is 130°, then the angle between the bisectors of the base angles of the triangle isA. 65°B. 100°C. 130°D. 155°

Let x and y be the bisected angles.

So in the original triangle, sum of angles is

130 + 2x + 2y = 180

2(x + y) = 50

x + y= 25

In the smaller triangle consisting of the original side opposite 130 and the 2 bisectors,

x + y + Base Angle = 180

25 + Base Angle = 180

Base Angle = 155o

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Lines and Angles40 mins
Quiz | Lines and Angles43 mins
NCERT | Lines and Angles Part - 142 mins
NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And Angles45 mins
Lines and Angles45 mins
Quiz | Lines and Angles45 mins
NCERT | Angle Sum Property44 mins
Smart Revision | All Types of Angles31 mins
Bonus Questions on Lines and Angles42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses