Question

NEED ANSWER ASAP! ON A TIMED TEST!

Four chords are drawn in the figure below, creating a quadrilateral with every vertex on the circle.

Using the special properties of this figure, determine m

Answer 1

21°

Explanation:

<DCB = 3x + 8°

< DAB = 5x + 4°

Now

<DCB + <DAB = 180° { being opposite angles of cyclic quadrilateral }

3x + 8° + 5x + 4° = 180°

8x + 12° = 180°

8x = 180° - 12°

8x = 168°

x = 168° / 8

Therefore x = 21°

Hope it will help :)