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

Calculate the average of the following in millimeters.
identifying the reasons that agricultural output from the Great Plains increased during the late 1800
which of the following reflects the economic theory of mercantilism? select one: a. merchants should control the government because they contribute more than ot
A cyclist accelerates from 0 m/s [S] to be 15 m/s [S] in 4 s. What is his acceleration?
How do I complete the table
How do you express -2 as a product of a positive and a negative integer?
What does biotic and abioctic mean?
I want to buy game for $40.write expression to show how many weeks will take me to save enough to buy the $40 game.use parentheses and brackets in the expressio
Tell which is greater A or B. Assume A and B are positive numbers. 150% of A is B.
Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to split the chicken between three people how much chicken with each person get