Question

Classify ABC by it's angles if a=32 and b=58

Answer 1

It is a triangle being classified right, since it has 3 angles? So, you would add 58 and 32 which is 90. Then, you would subtract 90 from 180. That would equal 90 degrees. C=90 degrees. It is a right triangle.

Answer 2

ABC is a right triangle.

Explanation:

We have been given that in triangle ABC the measure of angle a is 32 degrees and measure of angle b is 58 degrees.

TO classify our triangle first of all we need to figure out measure of angle c.

We will use angle sum property to solve for angle c. Angle sum property states that measure of all angles of a triangle add up-to 90 degrees.

Using angle sum property we can set an equation as:

`\angle a+\angle b+\angle c=180^o`

Substituting our given values we will get,

`32^o+58^o+\angle c=180^o`

`90^o+\angle c=180^o`

`90^o-90^o+\angle c=180^o-90^o`

`\angle c=90^o`

Since the measure of angle c is 90 degrees, therefore, triangle ABC is a right triangle, right angled at C.