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

In the parallelogram above, if angle R is 56 degrees, what is the value of x + y?-example-1
User HackerBoss
by
5.0k points

2 Answers

8 votes

Answer:

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

User Thatmarvin
by
4.9k points
12 votes

Answer:

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

User Closet
by
4.5k points