maddiedancer007 maddiedancer007
  • 12-11-2021
  • Mathematics
contestada

16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?

Respuesta :

kellidavidson6259
kellidavidson6259 kellidavidson6259
  • 12-11-2021

Answer:

The smaller angle is 20 degrees.

Step-by-step explanation:

A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.

Say that the angles have 2x and 7x length:

2x+7x=90

9x=90

x=10

Hence the acute angles have degrees 2*10=20, 7*10=70.

The smaller angle is 20 degrees.

Hope this was helpful!

Answer Link

Otras preguntas

which part of the brain maintains posture and equilibrium of the body?
how can wind be a torrent of darkness
Which option correctly completes the sentence? Council plans for the new pool were approved _________ on Monday. last Friday: work will begin last Friday, work
A number of students were asked this question: “How many cousins do you have?” The lowest answer given was 6. The highest answer given was 20. The total of all
James has 16 balloons 1/4 of his balloons are red how many red balloons does he have?
can you tell me what is papyrus?
Did Spain conquer the Incas and Aztecs for gold?
which part of the brain maintains posture and equilibrium of the body?
very, very thin due to lack of adequate food
James has 16 balloons 1/4 of his balloons are red how many red balloons does he have?