ChristineYPark ChristineYPark
  • 04-07-2018
  • Mathematics
contestada

The measures of a pair of consecutive angles of a parallelogram have the ratio 5:7. Find the measure of each angle of the parallelogram.

Respuesta :

mkryukova19 mkryukova19
  • 04-07-2018
5 : 7 = 5x : 7x

Sum of a pair of consecutive angles of a parallelogram = 180⁰.

5x+7x=180
12x = 180
x= 15

5x=15*5 = 75⁰
7x=15*7 = 105⁰

Two angles are 75⁰ each,
and 2 angles 105⁰ each.

Check:
Sum of angles in the 
parallelogram is 360⁰.
75*2 + 105*2 = 360
360 = 360 True

Answer Link

Otras preguntas

Find the perimeter of the polygon with the vertices q(−3, 2), r(1, 2), s(1,−2), and t(−3,−2).
how might women react to the ideas of the enlightenment
Which of the following statements about the amendment process is true?
Why would a nation most likely use military force? Check all that apply. to remove trade restrictions to defend territory to support allies to promote politica
A group of words that do not have a subject and a verb is called a _____. phrase clause preposition verb
The atomic mass of an atom with six electrons, eight neutrons, and six protons is: A. six B. fourteen C. eight D. twenty
identify the sentence fragment? A. The children ran in every direction. They were glad to be outside. B. The children ran in every​ direction, glad to be outs
150% of what number is 186
what is the smallest particle representing hydrogen peroxide?
For what x value will f(4x)=2?