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!

do you have a picture of the table

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: