Question 841336
the sum of the measures of the three angles in a triangle is 180. the measure of the second angle is 10 more than the measure of the first angle. the measure of the third angle is 100 less than three times the measure of the first angle. find the measure of each angle
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Equations:
a + b + c = 180
b = a + 10
c = 3a - 100
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Sustitute for "b" and for "c" and solve for "a":
a + (a+10) + (3a-100) = 180
5a - 90 = 180
5a = 270
a = 54 degrees
b = a+10 = 64 degrees
c = 3a-100 = 62 degrees
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Cheers,
Stan H.
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