Solve.
-The three angles in a triangle always add up to $180 ^ { \circ }$. If one angle in a triangle is $57 ^ { \circ }$ and the second is 2 times the third, what are the three angles?
A) $57 ^ { \circ } , 82 ^ { \circ } , 41 ^ { \circ }$
B) $57 ^ { \circ } , 83 ^ { \circ } , 40 ^ { \circ }$
C) $57 ^ { \circ } , 80 ^ { \circ } , 43 ^ { \circ }$
D) $57 ^ { \circ } , 81 ^ { \circ } , 42 ^ { \circ }$

Question

Quizplus · Accepted Answer

The sum of angles in a triangle is $180^\circ$. Let the third angle be $x$, so the second angle is $2x$. The equation is $57^\circ + 2x + x = 180^\circ$, solving for $x$ gives $x = 41^\circ$, making the second angle $82^\circ$.

Solve -The Three Angles in a Triangle Always Add Up 180∘180 ^ { \circ }180∘

Solve
-The Three Angles in a Triangle Always Add Up $180 ^ { \circ }$