SOLUTION: what kind of angle pair are the acute angles of a right triangle? What is the measuire of the smallest angle in an isosceles right triangle? The ratio of the angles of a triangle

Algebra.Com
Question 632601: what kind of angle pair are the acute angles of a right triangle?
What is the measuire of the smallest angle in an isosceles right triangle?
The ratio of the angles of a triangle is 1:2:3.What are the measures of the angles ?

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
What kind of angle pair are the the acute angles of a right triangle?
The expected answer must be
Because their measures plus the measure of the right angle must add up to ,
the measures of the acute angles must add up to a right angle ( in degrees or in radians).
A pair of angles that add up to a right angle is called complementary, so the acute angles of a right triangle are complementary.

What is the measure of the smallest angle in an isosceles right triangle?
Besides its right angle, an isosceles right triangle has two congruent acute angles opposite congruent legs. Because their measures must add up to a right angle (), each of those acute angles measures (or in radians).

The ratio of the angles of a triangle is 1:2:3.What are the measures of the angles ?
The largest angle must be the right angle. If the angles are in the ratio 1:2:3,
their measures would be , , and ,
with --> --> and
-->

RELATED QUESTIONS

The measures of the two acute angles in a right triangle are in the ratio 2:3. What is... (answered by edjones,richwmiller)
In a right triangle, one of the acute angles is fourteen times as large as the other... (answered by checkley77)
Triangle ABC is a right triangle. The measure of one of the acute angles is 36 degree... (answered by edjones)
The measure of one acute angle of a right triangle is 12 degrees more than the other... (answered by Theo)
The measure of one acute angle in a right triangle is four times the measure of the other (answered by jorel555)
If two acute angles of a right triangle are congruent, then what is the measure of each... (answered by ewatrrr)
one angle of a triangle is a right angle. another angle of the triangle is three times... (answered by edjones)
One angle of a triangle is a right angle. Another angle of the triangle is three times... (answered by John10)
One of the acute angles in a right triangle is 60°.Find the other acute... (answered by Alan3354,MathTherapy)