SOLUTION: Explain why the other two angles of a triangle must be acute if one angle is a right angle.

Question 552285: Explain why the other two angles of a triangle must be acute if one angle is a right angle.
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
The total number of degrees in a triangle is 180.
a+b+c=180
If one of the angles is right, its value is 90 so the other two angles must add up to be 90
a+b+90=180
a+b=90
For two numbers positive numbers that aren't zero to add up to be 90 each must be less than 90
RELATED QUESTIONS
Explain why the other two angles on a triangle are acute if one angle is... (answered by lindsayd)

One of the acute angles in a right triangle is 60�.Find the other acute... (answered by Alan3354,MathTherapy)

In a right triangle, one of the acute angles is 2 times as large as the other acute... (answered by Paul)

In a right triangle, one of the acute angles is 2 times as large as the other acute... (answered by josmiceli)

In a right triangle, one of the acute angles is twice as large as the other acute angle.... (answered by math-vortex)

In a right triangle, one of the acute angles is fourteen times as large as the other... (answered by checkley77)

If two angles are acute, then the third angle is? A. must be right B. must be obtuse... (answered by Alan3354,morethanmiles,MathTherapy)

The measure of one acute angle in a right triangle is four times the measure of the other (answered by jorel555)

If the measure of one angle of a triangle is equal to the sum of the measures of the... (answered by bucky)