Question

the vertical angle of an isosceles triangle is 120 find the remaining two based angle

Answer 1

given that vertical angle=120°

we know that in an isosceles triangle..

two sides and two angles are equal so

let A= 120

and B=C

B=B

now in triangle. A+B+C= 180

120+2B=180

2B= 180-120

B= 60/2=30°

angle B=Angle C= 30°

hope it help you

Answer 2

The remaining two angles are 30° each.

Given:

The vertical angle of an isosceles triangle is 120°.

To Find:

The remaining two angles.

Solution:

To solve this problem we will use the concept that in a triangle angles opposite to equal sides are equal.

An isosceles triangle is a triangle having two sides  of equal length.

Let two angles other than the vertical angle be x each.

Now, the sum of angles of a triangle is 180°

⇒ ∠x + ∠x + 120° = 180 °

⇒ 2∠x = 60°

⇒ ∠x = 30°.

∴ The remaining two angles are  30° each.