Question

The measures of the exterior angles of a quadrilateral are 2, x, °2x°, 5, x, °5x°, 6, x, °6x°, and 7, x, °7x°. solve for xx. a) x = 40°

b) x = 30°
c) x = 35°
d) x = 45°

Answer 1

To solve for x, set up an equation by adding the exterior angles of the quadrilateral and equating it to 360 degrees. Simplify the equation and solve for x, which is 18 degrees.

Step-by-step explanation:

To solve for x in the given problem, we need to use the property that the sum of the exterior angles of any polygon is always equal to 360 degrees. In this case, we have a quadrilateral with exterior angles of 2x, 5x, 6x, and 7x.

We can set up an equation:

2x + 5x + 6x + 7x = 360

Combine like terms:

20x = 360

Divide both sides by 20:

x = 18

Therefore, the value of x is 18 degrees.