Question

In the parallelogram below, solve for Y
Options
4
10
25
100

Answer 1

x = 4

y = 4

Explanation:

the front triangle has two 40° angles (sum of all ∡'s must be 180°)

the unlabeled lower-left angle then is 40°; this angle corresponds to the angle in the other triangle labeled as 10y°

therefore, 10y = 40 so y = 4

Since opposite angles in a parallelogram are congruent then we can write:

40° + 25x° = 100° + 10(4)°

25x° = 140 - 40°

25x = 100°

x = 4