The value of ∠FGJ = x⁰ is 45⁰.
What is Linear pair angle?
Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
Here, we know that sum of angles on linear pair is 180⁰.
∠FGJ = x⁰ and ∠JGH = 135⁰
∠FGJ + ∠JGH = 180⁰
x⁰ + 135⁰ = 180⁰
x⁰ = 180⁰ - 135⁰
x⁰ = 45⁰
Thus, the value of ∠FGJ = x⁰ is 45⁰.
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