SOLUTION: The measure of the second interior angle of a triangle is three times greater than that of the first. The measure of the third interior angle of the triangle is eight times greater

Question 886781: The measure of the second interior angle of a triangle is three times greater than that of the first. The measure of the third interior angle of the triangle is eight times greater than that of the first. What is the measure of the third angle? 60, 25, 120, or 15
Answer by verclau(6) (Show Source): You can put this solution on YOUR website!
So you have a triangle ABC with the first inside angle A which has x degrees.The second interior angle B has three times more than A that means 3x degrees.The third one C has eight times more than the first one A that means 8x degrees.The sum of those three angles in any triangle is A+B+C=180 degrees that means x+3x+8x=180 => 12x=180 =>x=15 degrees.The third angle C has 8x degrees that means 120 degrees.Problem solved:)
RELATED QUESTIONS
the measure of the second angle of a triangle three times the measure of the first and... (answered by rfer)

In a triangle the measure of the first angle is three times the measure of the second... (answered by cleomenius)

in a triangle the measure of the first angle is three times the measure of the second... (answered by checkley79)

In a triangle the measure of the first angle is three times three times the... (answered by josgarithmetic)

In a triangle, the measure of the first angle is 3 times the measure of the 2nd angle.... (answered by cleomenius)

In a triangle, the measure of the first angle is 4 times the measure of the second angle. (answered by TimothyLamb,MathTherapy)

In a triangle, the measure of the first angle is twice the measure of the second angle.... (answered by Cromlix)

The sum of the measure of the interior angles in a triangle is 180�.The measure of the (answered by JBarnum)

The sum of the measures of the interior angles in a triangle is 180�. The measure of the... (answered by josgarithmetic)