Question

the vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of triangle.

Answer 1

Let Base Angles Be X
So Verticle Angle=2x

We know that BASE ANGLES OF AN ISOSCELES TRIANGLE ARE EQUAL..

A.T.G.C
x+x+2x=180(Sum of angles of a triangle)
4x=180
x=180/4
x=45

Answer:Base Angles=45°
Verticle Angles=45*2=90°

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Answer 2

LET THE VERTICAL ANGLE BE = X                                                                     THEN EACH BASE ANGLE = 2X
REMEMBER THE SUM OF 3 
ANGLES OF A TRIANGLE =180
i.e 2X+2X+X= 180
5X=180
X=180|5= 36 DEGREES 
THEREFORE VERTICAL ANGLE =36 DEGREES 
THEN EACH BASE ANGLE =36*2= 72 

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