Question

The base angles of an isosceles triangle are each 24degree more than top angle.find the measures of all the angles.

Answer 1

Answer:

44°, 68° and 68°l

Step-by-step explanation:

In an isosceles triangle two base angles are equal.

Let the top angle be x.

Then the base angles are x + 24

The sum of angles of a triangle is equal to 180°

So, x + 24 + x + 24 + x = 180°

3x + 48 = 180°

3x = 180° - 48°

3x = 132°

x = 44°

x + 24 = 44 + 24 = 68°

So, the angles of the triangle are 44°, 68° and 68°