Problema Solution
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In a triangle, the measure of the first angle is
three times the measure of the second angle. The measure of the third angle is
75° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180
degrees
The measure of the first angle is
Answer provided by our tutors
Let
x = the measure of the second angle
75 + x = the measure of the third angle
3x = the measure of the first angle
3x + x + 75 + x = 180
........
click here to see the equation solved for x
........
x = 21
3x = 3*21 = 63 degrees
The measure of the first angle is 63 degrees.