Question

In the parallelogram above, if angle R is 56 degrees, what is the value of x + y?

Answer 1

x + y = 248

Explanation:

consecutive angles in a parallelogram sum to 180°

opposite angles are congruent

x + 56° = 180° ( subtract 56° from both sides )

x = 124°

then

y = x = 124 , so

x + y = 124 + 124 = 248

Answer 2

248

Explanation:

Consecutive angles of a parallelogram are supplementary.

56 + y = 180

y = 180-56

y =124

The opposite angles of a parallelogram are equal.

x = y = 124

x+y = 124+124

=248