Question

```````98 POINTS QUESTION!!!!!!!!``````

In an Isosceles triangle, if the vertical angle is twice the sum of base angles, then the vertical angle is ______.

````COPIED OR INCORRECT ANSWERS WILL BE REPORTED AND ACTIONS WILL BE TAKEN````

Answer 1

Heya!

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Let the sum of base angles be x.

According to the question ;
Vertical angle = 2x

In triangle ;
Sum of all angles of a triangle = 180°

=) 2x + x = 180°

=) 3x = 180°

=) x = 180°/3 = 60°

Hence vertical angle = 2*60°

= 120°

Hope it helps uh!!

Answer 2

Let the base angles be x
According to Question,
x + 2x = 180° ( Angle sum property of triangle)
3x = 180°
x = 180° ÷ 3
x = 60°
Therefore, the base angles measure 60° each and the measure of vertical angle is 60 × 2 = 120°