Question

if the Vertical angle of an isosceles triangle is hundred degree then find the measures of its base angle

Answer 1

Answer:

x=40°

Step-by-step explanation:

Heya!!

We know that an isosceles triangle has two sides of the same length and one side of different length.

The sum of the measures of the angles of the triangle is 180°.

We know the vertical angle of the triangle i.e., 100°.

Let the base angles be x and x since they have the same value.

So we get,

x+x+100=180° (by condition)

2x+100=180°

2x= 180-100

2x=80

x=80/2

x=40°

So the measure of both the base angles are x i.e., 40°.

Hope you got it!

Hope it helps you... : )

Answer 2

let the base angle be = x
as it's the isosceles triangle so its opposite side are equal and the angle will be equal
so,
x + x+ 100 = 180
2x+100=180
2x=180-100
2x=80
x=80/2
x= 40
base angle are 40 , 40
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