SOLUTION: In a right triangle, the measures of the two smaller angles are (3x+6) and (2x-1) . What is the measure of the smallest angle in the triangle?
Algebra.Com
Question 732520: In a right triangle, the measures of the two smaller angles are (3x+6) and (2x-1) . What is the measure of the smallest angle in the triangle?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The sum of the measures of the interior angles of any triangle is 180 degrees. Since one of the angles of a right triangle measures 90 degrees, the sum of the other two angles must be 180 minus 90 = 90 degrees. Therefore:
Solve for 
, then calculate 
which is clearly smaller than 
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
If the difference between the measures of the two smaller angles of a right triangle is... (answered by Alan3354)
The measures of the three angles of a
triangle are given by 3x + 1, 2x - 3, and 9x.... (answered by Alan3354,Fombitz,ikleyn)
The measures of the two acute angles in a right triangle are in the ratio 2:3. What is... (answered by edjones,richwmiller)
if the difference between the measures of two smaller angles of right triangle is 20... (answered by mananth,jessica43)
If the difference between the measures of the two smaller angles of a right triangle is 8 (answered by DrBeeee)
the measures of two complementary angles are (2x+2) and (3x-5). What is the measure of... (answered by checkley77)
The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the (answered by Fombitz)
The measures of two complementary angles are (3x + 3)° and (7x + 5)°. What is the measure (answered by lmeeks54)
The measures of two complementary angles are (2x + 4)° and (6x + 8)°.
What is the... (answered by addingup)
