Answer:
The angle Matt drew = 180°
Step-by-step explanation:
The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.
Let the equal angles drawn = x
x + x + x + x + x + x + x + x = 360°
8 × x = 360°
8x = 360
x = 45°
∴ each angle drawn = 45°
Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.
Finding the measure of this angle:
1 section in the circle = 45 (<em>shown above</em>)
∴ 4 sections = 45 × 4 = 180°
∴ The angle Matt drew = 180°
