On the given at the picture, the value of J is already given which is 127°.
So, ∠J = 127°
And, ∠E is the green side.
On a quadrilateral, the sum of all 4 interior angles is 360°.
So if ∠J is 127° and ∠S is 88°, then:
127° + 88° = 215°
360 - 215° = 145°
(10x + 7) + (5x + 3) = 145°
10x + 5x + 7 + 3 = 145
15x + 10 = 145
15x = 145 - 10
15x = 135
x = 9
Measure of K:
By substitution,
(10x + 7)
(10(9) + 7)
(90 + 7) = 97°
Measure of E:
(5x + 3)
(5(9) + 3)
(45 + 3) = 48°
∠J = 127°
∠E = 48°
