NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 6: Triangles - Problems and Solutions
Question 121

Question. 121

Each of the two equal angles of an isosceles triangle is four times the third angle. Find the angles of the triangle.

Answer:

20°, 80°, 80°

Detailed Answer with Explanation:

Let base angle = x. Then third = x/4. So 2x + x/4 = 180 ⇒ 9x/4 = 180 ⇒ x = 80. Third = 20°.