Problema Solution

one angle of an obtuse triangle is four times the first angle, while the third angle is 30 dgree less than the first angle. what are the degree measures of the three abgles?

Answer provided by our tutors

Let

x = the measure of the first angle

4x = the the second angle

x - 30 = the third angle

Since the measure of the sum of the angles in a triangle is 180 we have:

x + 4x + (x - 30) = 180

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click here to see the equation solved for x

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x = 35 degrees

4*35 = 140 degrees

35 - 30 = 5 degrees

The measures of the angles are 35, 140 and 5 degrees.