jlperez0414 jlperez0414
  • 24-02-2020
  • Mathematics
contestada

the angles of a triangle are in an extended ratio of 5:7:3. what is the measure of the smallest angle?

Respuesta :

iwillanswer iwillanswer
  • 01-03-2020

The measure of smallest angle is 36 degrees

Solution:

Given that,

The angles of a triangle are in an extended ratio of 5 : 7 : 3

Let one of angle be 5x

Let the other angle be 7x

Let the third angle be 3x

We know that,

Sum of angles in triangle is 180 degrees

Therefore,

5x + 7x + 3x = 180

15x = 180

Divide both sides by 15

x = 12

Thus the angles are:

5x = 5(12) = 60

7x = 7(12) = 84

3x = 3(12) = 36

Thus the measure of smallest angle is 36 degrees

Answer Link

Otras preguntas

what roles do the older figures play in the lives of the narrator of The barrio boy
The Scientific Method is an organized way of A Making observations B Testing a hypothesis C collecting data and presenting results. D All of the above
A recipe calls for the ratio of sugar to flour to be 10:3 if you used 70 ounces of sugar how many ounces of flour would you need to use please explain
List all the ways an early human could have used a goat
Kelly is planning on not eating as much junk food next month after the holidays are over. What stage of change is Kelly in?
what property is 3(x+5)-5=100
According to some genetic researchers, the palindromic and repetitive sequences found in the Y chromosome.
Why are certain metalloids useful in today's technological equipment? A.They are brittle and tough. B.They are semi-conductors. C.They have a low melting point.
The largest of the cranial nerves is what
need help with this math lesson