Question

Given that the quadrilateral shown is a parallelogram. Use the properties of parallelograms to find x if ∠A = 133° and ∠D = (3x + 35)°.
A) x = 2
B) x = 4
C) x = 5
D) x = 7
Use the properties of parallelograms to find x if ∠A = 122° and ∠C = (2x + 60)°.
A) x = 27
B) x = 29
C) x = 31
D) x = 33

Answer 1

Answer:

1) x=4. 2) x=31.

Step-by-step explanation:

Just did this, and i was soo confused- and couldn't find the answer. Here's how I figured it out!

Number 1

<A + <D = 180 (Because they're supplementary)

180 - 133 = 47

3(x) + 35 = 47

3(4) + 35 = 47

Therefore, x is 4.

Number 2

They should both equal the same since they're on seperate sides.

2x+60=122

2(31)+60

62+60=122

Therefore, x is 31.