Question

Set up an equation for the following i) In an isosles triangle, the vertex angle is twice their Base angle. ( Let the base angle be b in degrees. Remember that the sum of angles of a triangle is 180° degrees)​

Answer 1

Answer:

let the vertex angle be x

it's an isosles triangle so the are same ;2x

let the base angle be b

the equation is

2x+b=180°

Answer 2

Answer:

2b+b+b=180° {angle sum property}

Step-by-step explanation:

Let the base angles be b

Therefore, vertex angle=2b

B.T.P. 2b+b+b=180° {angle sum property}

or,4b=180°

or,b=180°/4

or,b=45°

Hence, the base angles are 45° and the vertex angle is (45°*2=90°) 90°

Hope this helps....