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  • 25-10-2022
  • Mathematics
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If x degree (14x+15) are the measures of complementary angles what is the measure of each angle?

If x degree 14x15 are the measures of complementary angles what is the measure of each angle class=

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VencentQ742108 VencentQ742108
  • 25-10-2022

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

[tex]x\text{\degree}+\left(14x+15\right)\text{\degree}=90\text{\degree}[/tex]

solving for x:

[tex]\begin{gathered} 15x=75 \\ \\ x=\frac{75}{15}=5 \end{gathered}[/tex]

ANSWER

x = 5°

14x + 15 = 85°

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