What is the value of x? A.54 B.–16 C.126 D.16

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

8 0

Since the angles are vertical they are also congruent. Therefore x equals 16

sergij07 [2.7K]3 years ago

6 0

Answer: Choice D) 16

-----------------------------------

Work Shown:

The two angles are vertical angles. They are congruent or equal in measure.

8x - 2 = 7x + 14
8x - 2+2 = 7x + 14+2 ... add 2 to both sides
8x = 7x + 16
8x - 7x = 7x + 16 - 7x ... subtract 7x from both sides
x = 16

You might be interested in

What is the hight of a Building 1 Angle 71o Distance 20 meters

vlabodo [156]

The height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

<h3>What is trigonometry?</h3>

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

We have:

Angle = 71 degree

Distance between A and B = 20 meters

Let's suppose the height of the building is x meters.

From the right angle triangle applying the tan ratio:

tan71 = x/20

x = 58.08 meter

Thus, the height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1