404,340 views
5 votes
5 votes
If x degree (14x+15) are the measures of complementary angles what is the measure of each angle?

If x degree (14x+15) are the measures of complementary angles what is the measure-example-1
User George Shalvashvili
by
3.1k points

1 Answer

10 votes
10 votes

Two angles are said to be complementary angles if they add up to 90 degrees; hence:


x\text{\degree}+\left(14x+15\right)\text{\degree}=90\text{\degree}

solving for x:


\begin{gathered} 15x=75 \\ \\ x=(75)/(15)=5 \end{gathered}

ANSWER

x = 5°

14x + 15 = 85°

User Dariusriggins
by
2.8k points