Since JOAL is a parallelogram, the measure of angle O is equal to 113°.
In Mathematics, a parallelogram is a type of quadrilateral and two-dimensional geometrical figure that is composed of two equal and parallel opposite sides.
According to the opposite angles theorem, the opposite angles of a parallelogram are always congruent and all the four angles add up to 360 degrees;
m∠O ≅ m∠J
m∠A ≅ m∠L
In this context, we have the following angle sum:
m∠O + m∠J + m∠A + m∠L = 360
5x - 7 + 5x - 7 + 3x - 5 + 3x - 5 = 360
16x - 24 = 360
16x = 384
x = 384/16
x = 24°
For the measure of angle O, we have;
m∠O = 5(24) - 7
m∠O = 113°