Lilybugs1214 Lilybugs1214
  • 21-05-2021
  • Mathematics
contestada

In parallelogram IJKL, what is the measure of angle K?​

In parallelogram IJKL what is the measure of angle K class=

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 26-05-2021

Answer:

<K = 67degrees

Step-by-step explanation:

From the parallelogram given, the opposite angles are equal i.e <L = <J

Given

<L = 5x + 18

<J = 7x - 20

Equating both sides

5x +  18 = 7x - 20

Collect the like terms

5x - 7x = -20 -18

-2x = -38

x = 38/2

x = 19

Also <J + <K = 180

7x - 20 + <K = 180

7(19) - 20 + <K = 180

133  - 20 + <K = 180

113 + <K = 180

<K = 180 - 113

<K = 67degrees

Answer Link

Otras preguntas

find the x helpp pleaseee
Which option is true of strength training
Find the length of a rectangle given that the perimeter is 32 feet and the length is 1 foot more than four times the width.
Suppose you wanted to study the historiography of ancient Greece. Which of the following actions would you take? A. Determine the unique aspects of Greek cultur
You put $500 in an account that earns 4% annual interest. The interest earned each year is added to the principal to create a new principal. Find the total amou
Paul and krystal spent 1 1/2 hours at the pool. for half of that time,they swam laps what equation can be used to find the amount of time they spent swimming la
Solve the system of equations below. (2x + 2y = 12 13x+2y =17
PLS HELP ME ASAP ILL GIVE YOU BRAINIEST
As habitat becomes more and more fragmented, resource availability decreases. With this decrease in resource availability, what happens to competition among spe
one seventh of what number is five sixths?