SOLUTION: the measures of two angles of a triangle are five and six times as large as the measure of the smallest angle. find all three measures.
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Question 465525: the measures of two angles of a triangle are five and six times as large as the measure of the smallest angle. find all three measures.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"the measures of two angles of a triangle are five and six times as large as the measure of the smallest angle. find all three measures."
x = smallest angle
5x = one angle {five times the smallest}
6x = other angle {six times the smallest}
Angles of a triangle add up to 180°
x + 5x + 6x = 180 {added angles and set equal to 180}
12x = 180 {combined like terms}
x = 15 {divided both sides by 12}
5x = 75 {substituted 15, in for x, into 5x
6x = 90 {substituted 15, in for x, into 6x}
15°, 75°, and 90° are the three angles
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