If an angle of 145 is divided into 5 angles with ratios 1: 3: 5: 8: 12, what is the measure

of the 4th largest angle?

15 degree ...

15 °

Step-by-step explanation:

The five angles are splitted in the ratio 1:3:5:8:12

The 1st biggest angle is at ratio 12

The 2nd biggest angle is at ratio 8

The 3rd biggest angle is at ratio 5

The 4th biggest angle is at ratio 3.

Time solve for the 4th biggest angle, we will find the sum of the ratios:

Therefore, 1 + 3 + 5 + 8 + 12 = 29

Ratio of 4th biggest angle:

= (3) / (29). * 145

= (3 * 45) / 29

= 3 * 5

= 15 °