Question 945236
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find the measures of the angles of a triangle if the measure of one {{{cross(side)}}} angle is twice the measure of a second and the third angle measures two times the second decreased by 20<br>
One angle (the "first" angle) has a measure equal to twice the measure of the second angle; the third angle has a measure that is 20 less than twice the measure of the second angle.  So<br>
x = second angle measure
2x = first angle measure
2x-20 = third angle measure<br>
The sum of the angles of a triangle is 180 degrees:<br>
(x)+(2x)+(2x-20) = 180
5x-20 = 180
5x = 200
x = 40<br>
ANSWERS: the angle measures in degrees are x=40, 2x=80, and 2x-20 = 60<br>