MATH SOLVE

4 months ago

Q:
# What is the relationship between the acute angles of a right triangle? Explain your answer.

Accepted Solution

A:

The relationship between the acute angles of a right triangle is that they ALWAYS add up to 90 degrees.In any triangle, all the measures of the angles add up to 180 degrees.[tex]a+b+c=180[/tex]Let c, be the right angle of the right triangle. This is always 90 degrees regardless of the type of right triangle.[tex]a+b+90=180[/tex]If we subtract 90 from both sides of the equation, we get[tex]a+b=90[/tex]Thus, the two acute angles of a right triangle always add up to 90.