Question

note: angles not necessarily drawn to scale.
X= ___ degrees
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Answer 1

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.

Answer 2

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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