What is the value of w? 40 75 100 52.5

Third option.

w = 100 °

Step-by-step explanation:

The interior angles of a quadrilateral (4-sided polygon) add up to 360 °.

Let's call the 4 sides: upper, lower, left and right.

The left side has an inclination of 5 ° less with respect to the right side. That means that the angle between the left side and the bottom side, called x, is 5 ° less than 80 °, so x = 75 ° (80 ° - 5 °)

Knowing three of the four angles of the quadrilateral, we can calculate w which is the missing angle.

w + x + 80 ° + 105 ° = 360 °

Isolating w, we have

w = 360 ° - x - 80 ° - 105 °, where x = 75 °, then

w = 360 - 75 ° - 80 ° - 105 °

w = 100 °