The measures of the angles of a pentagon are in the ratio 3:3:3:4.5. What is the number of degrees in the measure of the largest angle

150 Degrees

150°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 (Pentagon has 5 sides), thus

sum = 180° * 3 = 540°

Sum the parts of the ratio, 3 + 3 + 3 + 4 + 5 = 18 parts

Divide 540° by 18 to find the value of one part of the ratio

540° : 18 = 30° ← value of 1 part of the ratio, thus

5 parts = 5 * 30° = 150° ← largest angle