Question

In an isosceles triangle, the vertex angle is twice either base angle. ( Let the base angle be in b degrees. Remember that the sum of angles of a triangle is 180 degrees). Frame the Equation with steps.

Answer 1

Answer:

(45 ° ,45  °  ,90  °  )

Step-by-step explanation:

Let the base angle =b

⇒vertex angle =2b

Sum of angles in a triangle =180 °

 ⇒b+b+2b=180

⇒b=45  °

Angles = (45 ° ,45  °  ,90  °  )

Answer 2

Answer:

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)

Step-by-step explanation:

enter image source here

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

So,

→ 2x + x + x = 180°

→ 4x = 180°

→ x = 180/4

⇒x = 45°

Now the other angle is 2x

which is 45x * 2 = 90∘

Hope this helps!!! ☺. have a good day