Question

A slice of pizze is shaped like an isosceles triangle. If the tip is 32°, how big are the base angles?

Answer 1

The base angles are both 74°

Further explanation:

An isosceles triangle is a type of triangle that has two sides and two angles equal.

Let A, B and C be three angles

Let A=32°

If A is 32 then B and C will be equal

The internal angles of a triangle are 180°

So,

m∠A+m∠B+m∠C=180°

We know that B and C are equal

m∠B=m∠C

So putting the value of A and replacing C by B

32°+m∠B+m∠B=180°

32°+2m∠B=180°

2m∠B=180°-32°

2m∠B=148°

m∠B=148°/2

m∠B=74°

As

m∠B=m∠C

So

m∠C=74°

The base angles are both 74°

Keywords: Isosceles Triangle, Angles

Learn more about Isosceles triangle at:

• brainly.com/question/2116906
• brainly.com/question/2131336

#LearnwithBrainly