Question

Assume that lines that appear to be tangent are tangent. O is the center of each circle. Find the value of x. ***Show work and explain your work.

Answer 1

@mathstudent55

Answer 2

A tangent to a circle intersects the radius drawn to the point of tangency at 90 degrees.

Answer 3

Since you have a quadrilateral, you can find the sum of the measures of the interior angles using the formula 180(n - 2).
Then you have three known angle measures and only one unknown, so you can find the unknown angle measure, x.

Answer 4

where were u stuck at ?

Answer 5

@Firejay5

Answer 6

@ganeshie8 We just started this today and my teacher didn't teach us this thinking we know it. I am stuck on everything. well let me review @mathstudent55 work

Answer 7

yeah sure :)

Answer 8

well can you use the 180(n - 2) formula

Answer 9

yes, 'n' is the number of sides in a polygon

Answer 10

for a quadrilateral, number of sides = 4
so simply plugin n=4 to get the sum of angles

Answer 11

How do you know that it's a quadrilateral

Answer 12

any closed SHAPE, that has FOUR sides is called a quadrilateral :)

Answer 13

they all are quadrilaterals

Answer 14

wait a sec, did i get u correctly.. ?

Answer 15

I see what you mean

Answer 16

it has 4 sides aswell,
so, first find out the sum of angles using the formula 180(n-2) ?

Answer 17

It's 360 degress, but how do you solve for x

Answer 18

good :)
add the angles and set it equal to 360