find the value of x in the parallelogram

x = 114

Step-by-step explanation:

Angle A is equivalent to angle D because of the properties of parallelograms. So we know angle A is 66 degrees. Angles C and B also have the same measure because they are opposite angles. The sum of all four angle measures is 360 degrees.

Therefore, you can write this equation:

m<A + m<B + m<C + m<D = 360

Step 1) plug in the degree measure of each angle that you know.

(I will represent angle C with “x”)

66 + m<B + x + 66 = 360

(We know that the m<B is the same as m<C, so we can plug in “x” for m<B)

66 + x + x + 66 = 360

(x + x is the same as 2x)

66 + 2x + 66 = 360

(66 + 66 = 132)

132 + 2x = 360

Step 2) solve for x by continuing with this equation: 132 + 2x = 360

(Subtract 132 from both sides)

2x = 228

(Divide by 2 on both sides)

x = 228/2

(228/2 equals 114)

x = 114

Check:

Add all four angle measures. It should add up to 360.

66 + 114 + 114 + 66

180 + 114 + 66

294 + 66

360

Yay it worked!

FYI: the angles that are across from each other in a parallelogram are always congruent. The sides that are opposite (across from) each other are also congruent. All 4 angles in a parallelogram will add up to 360 degrees. This info will help when you’re solving for the sides or angles of a parallelogram. Good luck!

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8