Respuesta :

Answer: b

Step-by-step explanation:

By the alternate interior angles theorem, the angle of elevation and the angle of depression have the same measure.

The measure of angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

It is given that:

The right-angle triangle is shown in the picture.

The right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

As the two lines are parallel to each other and a transversal is intersect the parallel lines so the angle would be same as 32 degrees

The angle A = 32 degrees

Thus, the measure of the angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2