A set of angles has a ratio of 5:2. If the larger angle measures 1059, then what is the

measure of the smaller angle?

Answer:424

Step-by-step explanation:

Ratio of the larger angle to the smaller angle = 5:2

To calculate the measure of the smaller angle, we first calculate the measure of the total angle from the lager angle.

Let the measure of the total angle = x

Therefore, the ratio of the larger angle measure will be

⁵/₇ x ˣ/₁ = 1059

5x/7 = 1059

Make it a linear equation by multiplying through by 7 and divide through by 5 to get x

5x = 1059 x 7

5x = 7413

x = 7413/5

x = 1482.6

Now to get the measure of the smaller angle, we subtract the value of the larger one from the the total angle.

= 1482.6 - 1059

= 423.6

= 424

Step-by-step explanation:

step 1: add the ratio - 5+2=7

step 2: 2/7 * 1059 = 302.6

the measure of the smaller angle is 302.6