SOLUTION: In a right triangle, the first angle is 9 degrees smaller than twice the measure of the second angle. What is the measure of the second angle?
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Question 224860: In a right triangle, the first angle is 9 degrees smaller than twice the measure of the second angle. What is the measure of the second angle? Answer by LtAurora(115) (Show Source):
You can put this solution on YOUR website! Since it is a right triangle, we alrady know that one angle is 90 degrees.
The relation between our other angles is:
So, the sum of the angles ina triangle is 180.
So:
Or, move the 90 over:
Plug in the relation we derived:
We can combine like terms:
Add 9 to both sides:
Divide by 3:
So, The second angle is 33.
To check, we can determine the first angle is:
and the sum of the two angles gives us 90.
