Answer :

Given: The given triangle is isosceles triangle. Also vertex angle is 100°


To find: Measure of base angles.


It is given that triangle is isosceles.


So let our given triangle be ∆ABC.


And let A be the vertex angle, which is given as A= 100°


By the property of isosceles triangle, we know that base angles are equal.


So,


B = C …(1)


We know that,


Sum of all angles in any triangle = 180°


A + B + C = 180°


100° + 2B = 180° …from (1)


2B = 180° - 100°


2B = 80°


∴∠B = 40°


Therefore, our base angles, B and C, are 40° each.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
caricature
view all courses
RELATED QUESTIONS :

Prove that the anRS Aggarwal & V Aggarwal - Mathematics

If the sides of aRD Sharma - Mathematics

D is any point onNCERT Mathematics Exemplar

In a triangle RD Sharma - Mathematics

In Δ ABCRD Sharma - Mathematics

In Δ PQRRD Sharma - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

Prove that the peRD Sharma - Mathematics

In Fig. 10.25, <iRD Sharma - Mathematics

In a <span lang="RD Sharma - Mathematics