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

what is the period that followed the end of the western roman empire known as?
meyers, inc. is an american company that manufactures and distributes coffee products in the u.s. because of the popularity of its products, meyers inc. wants t
The expiration date on a product refers to the last date a product should be __________.
what adds up to 2 and multiplies to 9? what adds up to 6 and multiplies to 7? what adds up to 2 and multiplies to 7
consequences of drinking and driving
post impressionism definition
is good friday a federal holiday 2016
All of the following statements about propaganda are TRUE except: A. It may be factual, exaggerated, or completely deceptive. B. It was used by both the US and
spanish speaking countries
earliest signs of pregnancy