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

Cory's average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be? How do i figure out this problem?
the process that removes metabolic waste products from an organism is known as
Fill in the gaps: .... to the legendary film director Orson Wells, music accounts .... half the work in a movie, mostly without the audience even knowing the na
write the ratio as a fraction in simplest form. 16ft to 6yd
Help me on this question plz plz
How do you derive the drift velocity equation (I = nAve)?
describe why the bureaucratic personality can be dangerous.
Solve each compound Inequality. 42. -2 ≤ d + 1/2 < 4 1/2 44. 2t ≤ -4 or 7t ≥ 49 46. -1 ≤ a - 3 ≤ 2 48. A town's high temperature for a given month is 88 degr
Simplify (7-8i)+(-12-4i)
What is party-as-organization?