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
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