3,204 views
9 votes
9 votes
How do I solve for x and y?

How do I solve for x and y?-example-1
User Leonardo Cavalcante
by
2.5k points

1 Answer

17 votes
17 votes

Answer:

  • x = 69
  • y = 21

Explanation:

To solve for x and y, take advantage of the relationships between angles and diagonals in a rhombus. Each diagonal bisects the vertex angle, and the acute angles in each right triangle are complementary.

__

The angles created by the diagonal at the lower left vertex are congruent:

y° = 21°

__

The angles x° and y° are complementary:

x° = 90° -21°

x° = 69°

User Ksl
by
3.2k points