Sam rotated parallelogram ABCD 90° clockwise around the origin. If angle A is 130° and angle B is 50°, what is the degree measurement of angle A'?

Respuesta :

The degree measurement of angle A is already equal to 50 degrees.

Answer:

The degree measurement of angle A' is 130°.

Step-by-step explanation:

Given information: ∠A = 130° and ∠B = 50°.

Sam rotated parallelogram ABCD 90° clockwise around the origin. If angle A is 130° and angle B is 50°.

Rotation is a rigid transformation, it means the size and shape of a figure remains same after rotation. In other words we can say that preimage and image are congruent.

[tex]ABCD\cong A'B'C'D'[/tex]

Corresponding parts of congruent figures are congruent.

[tex]\angle A\cong \angle A'[/tex]

[tex]m\angle A=m\angle A'[/tex]

[tex]130^{\circ}=m\angle A'[/tex]

Therefore the degree measurement of angle A' is 130°.

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