On solving the given problem we go that - In AJKL, m/J = (8x - 7)°, m/K = (x + 7)°, and m/L= (2x +15)°, the value of X = 15°
A triangle will always have an angle total of 180 degrees. A quadrilateral may be divided in half from corner to corner to form a triangle because the angle total of a quadrilateral is equal to 360°. A triangle is effectively half of a quadrilateral, therefore it makes sense that its angle measurements are also half. 180° is the half of 360°.
Sum of all angles = 180°
∠J + ∠K + ∠L = 180° ------(1)
m/J = (8x - 7)°,
m/K = (x + 7)°,
m/L= (2x +15)°
putting above equations in (1)
(8x - 7)° + (x + 7)° + (2x +15)° = 180°
11x + 15° = 180°
11x= 180° - 15°
11x = 165°
x = 15°
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