In a triangle, the measure of the first angle is three timesthree times the measure of the second angle. the measure of the third angle is 65 degrees65° 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 180degrees° to find the measure of each angle.

Question

Kristen

Mathematics

28 September, 01:48

In a triangle, the measure of the first angle is three timesthree times the measure of the second angle. the measure of the third angle is 65 degrees65° 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 180degrees° to find the measure of each angle.

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Gordon Avila · Answer 1

1st angle = 3x

2nd angle = x

3rd angle = 65 + x

3x + x + 65+x = 180

5x+65 = 180

5x=115

x = 115/5 = 23

2nd angle = 23 degrees

1st angle = 23 x 3 = 69 degrees

3rd angle = 65 + 23 = 88 degrees