Respuesta :
Angle AGD is a right angle which equals 90 degrees.
Angle FGD would be 90-73 = 17 degrees.
Angle X is a vertical angle to FGD, which means they are the same.
Angle X = 17 degrees.
Based on the definition of complementary angles, the value of x is: 17°.
What are Complementary Angles?
If the sum of two angles equals 90 degrees, then they are complementary angles.
m∠AGF = m∠CGB = 73° [vertical angles]
m∠CGB + x = 90° [complementary angles]
73 + x = 90
x = 90 - 73
x = 17°
Therefore, based on the definition of complementary angles, the value of x is: 17°.
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