Question

Given that the quadrilateral shown is a parallelogram. Use the

properties of parallelograms to find x if A = 133º and Z
D = (3x +
35)
A) X = 2
B)
x = 4
C)
X = 5
D) x = 7

Answer 1

9514 1404 393

Answer:

B) x = 4

Explanation:

Perhaps angles A and D are adjacent, so have a sum of 180°.

133° + (3x +35)° = 180°

3x +168 = 180 . . . . . . . . simplify

x + 56 = 60 . . . . . . . . . . divide by 3

x = 4 . . . . . . . . . . . . . . . . subtract 56