Question

Could someone please help me with this?!?! In quadrilateral JKLM, 13 years ago

Answer 1

The first step is to draw and label a diagram that reflects the given information.

Answer 2

After you solve for x, substitute that value of x into (x + 10) with is the measure of angle K.

Answer 3

Theorem: The sum of the interior angles in a quadrilateral is 360.

Post what you get for angle K's value. Somebody will check it. Okay?

Answer 4

So x is 160?

Answer 5

?

Answer 6

Something is not right here. Check the angle measures given in the problem. I need to check where the angles are on the diagram.

Answer 7

My error @WhiteFlower
The equation should be set equal to 360. The sum of the interior angles of a quadrilateral is 360.

So, 110 + x + 10 + x + 90 = 360 Solve for x.

I need to correct my diagram while you solve the equation.

Answer 8

Corrected Diagram

Answer 9

2x + 210 = 360

Solve for x.

Answer 10

110 + x + 10 + x + 90 = 360
2x+210 = 360
2x=360-210=150


=150/5=75?

Answer 11

150/2 = 75

Answer 12

So, what is the measure of angle K if angle K = x + 10.

x + 10 = 75 + 10 = ?

Answer 13

85

Answer 14

That is what I got.

Answer 15

Awesome!

Answer 16

Thanks for explaining it!!

Answer 17

Great news. Glad to help. Sorry about the error.
I owe you one "free" help session. Let me know when you need more help. Ping me by writing @Directrix

Answer 18

Lol, its fine but thanks!! :)