Solve.
-Find the measures of the angles of a triangle if the measure of the first angle is four times the measure of the second angle and the third angle is $30 ^ { \circ }$ more than the second angle.
A) $100 ^ { \circ } , 25 ^ { \circ } , 55 ^ { \circ }$
B) $35 ^ { \circ } , 5 ^ { \circ } , 140 ^ { \circ }$
C) $68 ^ { \circ } , 17 ^ { \circ } , 95 ^ { \circ }$
D) $20 ^ { \circ } , 5 ^ { \circ } , 155 ^ { \circ }$

Question

Quizplus · Accepted Answer

The sum of the angles in a triangle is $180^\circ$. Let the measure of the second angle be $x$. Then, the first angle is $4x$ and the third angle is $x + 30^\circ$. The equation is $4x + x + (x + 30^\circ) = 180^\circ$, simplifying to $6x + 30^\circ = 180^\circ$, and solving for $x$ gives $x = 25^\circ$. Thus, the angles are $100^\circ, 25^\circ, 55^\circ$.

Solve -Find the Measures of the Angles of a Triangle 30∘30 ^ { \circ }30∘

Solve
-Find the Measures of the Angles of a Triangle $30 ^ { \circ }$