MATH SOLVE

6 months ago

Q:
# Quadrilateral WILD is inscribed in circle O.WI is a diameter of circle O.What is the measure of angle D?

Accepted Solution

A:

Since the quadrilateral is inscribed inside the circle, where the four vertices are on the circle itself, this means that the opposite angles add to 180 degrees.

Angle I and Angle D are opposite angles. They add to 180 degrees

(angle I) + (angle D) = 180

(45 degrees) + (angle D) = 180

(angle D) + 45 = 180

(angle D) + 45 - 45 = 180 - 45 ... subtract 45 from both sides

angle D = 135

The measure of angle D is 135 degrees

Angle I and Angle D are opposite angles. They add to 180 degrees

(angle I) + (angle D) = 180

(45 degrees) + (angle D) = 180

(angle D) + 45 = 180

(angle D) + 45 - 45 = 180 - 45 ... subtract 45 from both sides

angle D = 135

The measure of angle D is 135 degrees