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

9. As the main author of American foreign policy, the President acts as the nation's chief executive chief of party chief diplomat commander in chief
what is the center of dilation? what is the scale factor of the dilation?
How much work must be done on a spring (k = 730 N/m) to stretch is by 1.5 m?
The primary benefit of a VPN that uses _________ is that an intercepted packet reveals nothing about the true destination system.
According to the Bering Land Bridge Theory, how do scientists think people first arrived in North America? (A) after the ice age glaciers melted and people came
what are the two components of the geographic grid, and how are they calculated​
Read the sentence. Terrence and Micah thought it might rain, but ________ are not worried. Which pronoun correctly completes the blank
How are iconic bonds and van der waals forces different?
Batteries can supply a steady flow of electrons. True False
What was William Penns main reason for founding Pennsylvania