Question

A

to
X =
38°
E
you
D
C
The image above shows a rhombus. Solve for angles x and y.
N

Answer 1

Explanation: The rhombus has two pairs of parallel sides and opposite angles that are equal. Therefore, angle X is equal to angle Z, and angle Y is equal to angle W. Since the opposite angles of a rhombus are equal, we know that angle Y is equal to angle A.

Using the fact that the sum of the angles in a quadrilateral is 360 degrees, we can set up the following equation:

X + Y + Z + W = 360

Substituting the known angles, we get:

X + A + Z + Y = 360

Simplifying, we get:

2X + 2Y = 360

Dividing by 2, we get:

X + Y = 180

Substituting Y = A, we get:

X + A = 180

Substituting the value of angle A, we get:

X + 38 = 180

Solving for X, we get:

X = 142

Therefore, angle X is equal to 142 degrees.

Since angle Y is equal to angle A, we know that angle Y is also equal to 38 degrees. Therefore, angle Y is equal to 38 degrees.

Hopefully this helpsss