SOLUTION: One angle in a triangle is 18degrees° more than the smallest angle in the​ triangle, while the other angle is 36degrees° more than the smallest angle. Find the measures of th
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Question 1017137: One angle in a triangle is 18degrees° more than the smallest angle in the triangle, while the other angle is 36degrees° more than the smallest angle. Find the measures of the three angles Answer by ikleyn(52884) (Show Source):
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One angle in a triangle is 18° more than the smallest angle in the triangle, while the other angle is 36° more than the smallest angle. Find the measures of the three angles
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Let x be the measure of the smallest angle in degrees.
The the measure of the first angle is x + 18°, and the measure of the other angle is x + 36°.
Since the sum of interior angles of any triangle is 180°, you have an equation
x + (x + 18) + (x + 36) = 180, or
3x = 180 - 18 - 36,
3x = 126,
x = = 42.
Thus the measure of the smallest angle is 42°.
Now find yourself other angles.
