newsongayeromara
newsongayeromara newsongayeromara
  • 21-02-2022
  • Mathematics
contestada

angles of a quadrilateral are y,2y,3y+20 and 4y+30 . find each angle if the sum of the angles of a quadrilateral is 360°
​

Respuesta :

jimrgrant1 jimrgrant1
  • 21-02-2022

Answer:

31° , 62° , 113° , 154°

Step-by-step explanation:

sum the 4 angles and equate to 360

y + 2y + 3y + 20 + 4y + 30 = 360 , that is

10y + 50 = 360 ( subtract 50 from both sides )

10y = 310 ( divide both sides by 10 )

y = 31

2y = 2(31) = 62

3y + 20 = 3(31) + 20 = 93 + 20 = 113

4y + 30 = 4(31) + 30 = 124 + 30 = 154

the 4 angles are 31° , 62° , 113° , 154°

Answer Link

Otras preguntas

There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?
which of the following were attitudes that white settlers had towards the northwest's native americans? (choices below)
subtract (-4z^2-11u)-5z^2 simpliest terms
Northerners who relocated to the south after the civil war were called question 1 options: carpetbaggers. copperheads. interlopers. scalawags.
Kelly read 30 pages of her 300-page book in 6 hours. At this rate, how long will it take her to read the entire book?
Solve The Equation 2 (2 + 4) ^ 0 + 3 (18 + 6) ^ 0 A.) 0 B.) 1 C,) 2 D. 5
What period of the mesozoic era did dinosaurs first appear
What could prevent earmuffs from providing your ears good protection from noise?
If ABC is reflected across the y-axis, what are the coordinates of A’?
From where do we get the english word for bible? the greek word for "good news" the greek word for covenant the hebrew word for testament the ancient city of by