niyahd1 niyahd1
  • 18-10-2017
  • Mathematics
contestada

measures of an angle and five times it’s complement is 298 what is the measure of the angle

Respuesta :

jdoe0001 jdoe0001
  • 18-10-2017
complementary angles add up to 90°, therefore, let's say the angles are "a" and "b".

so the sum of "a" plus " 5 times its complement", that is 5 times "b" is 298, so a + 5b = 298.

now, if a + b = 90, that means b = 90 - a.

therefore

[tex]\bf a+5b=298\implies a+5(90-a)=298\implies a+450-5a=298 \\\\\\ -4a=-152\implies a=\cfrac{-152}{-4}\implies a=38[/tex]
Answer Link

Otras preguntas

The Sun is best described as...
write an expression for the calculation double the number 15 and then add 25 divided by 5
Which name is better? Jada or Alexandra?
The structure of the poem “Tattoo” by Gregg Shapiro can be described best as __________.
ONE MORE first president of the USA
a direct result of the battle of fort sumter was that
real estate is an attractive investment because it
Which of these statements accurately describes Siddhartha Gautama, the founder of Buddhism? a. He saw a contradiction between the teachings of the Hindu sacred
What is the best answer to this question, y=3×+6? What's the y intercept?
Lakes,rivers,and streams are what kind of water