Find the measure of each angle in the problem.
-Complementary angles with measures 2x and 7x - 9 degrees
A) $42 ^ { \circ }$ and $138 ^ { \circ }$
B) $11 ^ { \circ }$ and $79 ^ { \circ }$
C) $22 ^ { \circ }$ and $68 ^ { \circ }$
D) $24 ^ { \circ }$ and $66 ^ { \circ }$

Question

Find the measure of each angle in the problem.
-Complementary angles with measures 2x and 7x - 9 degrees 
A) $42 ^ { \circ }$ and $138 ^ { \circ }$
B) $11 ^ { \circ }$ and $79 ^ { \circ }$
C) $22 ^ { \circ }$ and $68 ^ { \circ }$
D) $24 ^ { \circ }$ and $66 ^ { \circ }$

Quizplus · Accepted Answer

Complementary angles sum up to $90 ^ { \circ }$. Solving $2x + (7x - 9) = 90$ gives $x = 11$. Thus, the angles are $2(11) = 22 ^ { \circ }$ and $7(11) - 9 = 68 ^ { \circ }$.

Find the Measure of Each Angle in the Problem 42∘42 ^ { \circ }42∘

Find the Measure of Each Angle in the Problem $42 ^ { \circ }$