Aset of angles has a ratio of 5: 2. if the larger angle measures 1059, then what is the
measure of the smaller angle?

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

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