A quadrilateral has 4 sides. One angle of a regular quadrilateral measures (6w + 13)°. Determine the value of w. Round to the nearest whole number.

a w = 13
b w = 23
c w = 59
d w = 90

1 answer

To determine the value of w, we need to solve the equation (6w + 13)° = 90° since one angle of the regular quadrilateral measures (6w + 13)°.

So, we have:
6w + 13 = 90

Subtracting 13 from both sides:
6w = 77

Dividing both sides by 6:
w = 77/6

Rounded to the nearest whole number, we have:
w ≈ 13

Therefore, the value of w is 13.
Answer: a) w = 13