Find the angles of a triangle if it is known that the measures of the angles are $n , 4 n - 15 , \text { and } 4 ( 40 - n )$ .
A) $70 ^ { \circ } , 250 ^ { \circ } , 40 ^ { \circ }$
B) $175 ^ { \circ } , 145 ^ { \circ } , 40 ^ { \circ }$
C) $30 ^ { \circ } , 105 ^ { \circ } , 130 ^ { \circ }$
D) $40 ^ { \circ } , 15 ^ { \circ } , 125 ^ { \circ }$
E) $35 ^ { \circ } , 125 ^ { \circ } , 20 ^ { \circ }$

Question

Quizplus · Accepted Answer

The sum of the angles in a triangle is $180^\circ$. Solving the equation $n + (4n - 15) + 4(40 - n) = 180$ gives $n = 35$. Thus, the angles are $35^\circ$, $125^\circ$, and $20^\circ$.

Find the Angles of a Triangle If It Is Known n,4n−15, and 4(40−n)n , 4 n - 15 , \text { and } 4 ( 40 - n )n,4n−15, and 4(40−n)

Find the Angles of a Triangle If It Is Known $n , 4 n - 15 , \text { and } 4 ( 40 - n )$