SOLUTION: In a right triangle, the smallest angle is 16 smaller than the next smallest angle. Find the measures of the angles.

Algebra.Com
Question 663202: In a right triangle, the smallest angle is 16 smaller than the next smallest angle. Find the measures of the angles.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

In a right triangle one angle is degrees, and the sum of all is degrees,
let be the smallest angle
if is smaller than the next smallest angle , then

so, we will have


....replace
...solve for





now find












RELATED QUESTIONS

One angle in a triangle measures twice the smallest angle, whereas the largest angle is... (answered by checkley71)
One angle in a triangle measures five times the smallest angle, whereas the largest angle (answered by Tatiana_Stebko)
In a right triangle, the measures of the two smaller angles are (3x+6) and (2x-1) . What... (answered by solver91311)
Solution with answer please thank you! Find the angles of a triangle where the... (answered by AlgebraLady88)
the largest angle in a triangle is 50 degrees more than the smallest angle. the sum of... (answered by stanbon)
If the difference between the measures of the two smaller angles of a right triangle is... (answered by Alan3354)
One angle in a triangle is 18degrees° more than the smallest angle in the​... (answered by ikleyn)
The smallest angle of a triangle measures 44 degrees less than the largest angle. The sum (answered by shree840)
One angle in a triagle is 10 degrees more than the smallest angle in the triangle, while... (answered by rfer)