Use the five-step strategy for solving word problems to find the number or numbers described in the following
exercise.
-The sum of the angles of a triangle is $180 ^ { \circ }$. Find the three angles of the triangle if one angle is three times the smallest angle and the third angle is $25 ^ { \circ }$ greater than the smallest angle.
A) $31 ^ { \circ } , 93 ^ { \circ } , 56 ^ { \circ }$
B) $22 ^ { \circ } , 66 ^ { \circ } , 92 ^ { \circ }$
C) $16 ^ { \circ } , 48 ^ { \circ } , 116 ^ { \circ }$
D) $16 ^ { \circ } , 41 ^ { \circ } , 123 ^ { \circ }$

Question

Quizplus · Accepted Answer

Let the smallest angle be $x$. Then the second angle is $3x$ and the third angle is $x + 25^\circ$. The equation is $x + 3x + (x + 25) = 180$. Solving gives $5x + 25 = 180$, so $5x = 155$, and $x = 31$. Thus, the angles are $31^\circ$, $93^\circ$, and $56^\circ$.

Use the Five-Step Strategy for Solving Word Problems to Find 180∘180 ^ { \circ }180∘

Use the Five-Step Strategy for Solving Word Problems to Find $180 ^ { \circ }$