The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary. Given the angle measures, prove that quadrilateral ABCD is a parallelogram by finding the value of x. ∠A = 120 − 2x
∠B = 70 + x
∠ C = 1 0 5 − 2x
∠D = 40 + 4x

A) x = 2
B) x = 5
C) x = 10
D) x = 20

2) The quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Given the side lengths, prove that quadrilateral ABCD is a parallelogram by finding the value of x.

AB = 2x + 55
A D = 4 0 + 2x
BC = 3x − 10
CD = 3x + 35

A) x = 2
B) x = 5
C) x = 10
D) x = 20

7.3

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

explanation:

step-by-step explanation:

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: