Question

In an isosceles triangle,the base angle are equal.the vertex angle is twice either base angle.what are the angle of the triangle?​

Answer 1

Step-by-step explanation:

An isosceles triangle has two sides of equal length. Likewise, the opposite angles of the sides are the same

So lets assume each angle be

x

and the bigger angle be

2

x

(since it is twice the base angle)

enter image source here

Now, we know that sum of the angles in a triangle is 180 degree

So,

→

2

x

+

x

+

x

=

180

∘

→

4

x

=

180

∘

→

x

=

180

4

⇒

x

=

45

∘

Now the other angle is

2

x

which is

45

×

2

=

90

∘

Hope this helps!!! ☺☻ have a good day...

Answer 2

Answer:

$\boxed{\fcolorbox{black}{yellow}{Answer}}$

Let the base of the isosceles triangle be x

Then, it is given that the vertex angle is twice either base angle.

So, the vertex angle will be 2x

We know that,

all the three angles of triangle is equal to 180 degree

So,

A/Q

$x+x+2x=180°$

$4x=180°$

$x=$$\frac{180}{4}$

$x=45$

Therefore ,the two base angles of the triangle are=$45°$

and the vertex angle is $2×45=90°$

═════════════════════════════════

нσρє ıт's нєłρƒυł ❤️