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