Question

1
In an isosceles triangle, the base angle and
the vertex angle are in the ratio 2 : 5. Find the
measure of all the angles.​

Answer 1

In an isosceles triangle opposite angles are equal.
Then the angles will be 2x:2x:5x
We know that sum of the angles of a triangle is 180.
2x+2x+5x=180
9x=180
x=20
2x=2x20=40
5x=5x20=100
Hence,the angles are 40,40&100