SOLUTION: the measures of two angles of a triangle are in the ratio 2:3. if the third angle is 4 degrees larger than the larger of the other two angles, find the measure of an exterior angle
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Question 252838: the measures of two angles of a triangle are in the ratio 2:3. if the third angle is 4 degrees larger than the larger of the other two angles, find the measure of an exterior angle at the third vertex Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the measures of two angles of a triangle are in the ratio 2:3. if the third angle is 4 degrees larger than the larger of the other two angles, find the measure of an exterior angle at the third vertex
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smallest angle: 2x
middle angle: 3x
largest angle: 3x+4
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Equation:
2x + 3x + 3x+4 = 180
8x = 176
x = 22
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smallest angle: 2x = 44 degrees
middle angle : 3x = 66 degrees
largest angle: 3x+4 = 70 degrees
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Cheers,
Stan H.
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