SOLUTION: One of the angles of a triangle is equal to the sum of the other two angles.if the ratio of the other two angles is 4 : 5,find the angles of the triangles.

Question 1148764: One of the angles of a triangle is equal to the sum of the other two angles.if the ratio of the other two angles is 4 : 5,find the angles of the triangles.
Answer by ikleyn(52863) (Show Source): You can put this solution on YOUR website!
.


STEP 1.  It is clear from the condition, that the largest angle is 90 degrees, and the sum of two other angles is 90 degrees, too.


STEP 2.  Since the sum of the two acute angles is 90 degrees and the ratio of their measures is 4:5, these angles are 40 and 50 degrees,


ANSWER.  The angles are 90, 40 and 50 degrees.

RELATED QUESTIONS
One of the angles of a triangle is equal to the sum of the other two angles. If the ratio (answered by RAY100)

In a triangle one of the angles is 50% more than the sum of other two angles. find the... (answered by Alan3354)

One of two complementary angles is 4 more than the other. Find the angles. (Recall that... (answered by ptaylor)

The measurement of one angle of a triangle is 61 the other two angles are in a ratio of 2 (answered by waynest)

One of two supplementary angles is five times the other. Find the angles. (Recall that... (answered by bucky)

Two angles of a triangle are equal. The third angle is 20 degrees more than the sum of... (answered by ewatrrr)

If two angles are equal to 120 degrees and one of the angles is 5 times larger than the... (answered by harpazo)

One angle of a triangle measures 110 degrees. The other two angles are in a ratio of... (answered by LinnW)

One angle of a triangle measures 18 degrees. The other two angles are in the ratio of... (answered by rfer)