Question


Lines AB and CD are perpendicular to each other. If 1 measures (4x + 3)°, and 2 measures 27°, what is the value of x?

Answers

GPT 3.5
Since lines AB and CD are perpendicular, angles 1 and 2 are corresponding angles. Corresponding angles are congruent when two lines are perpendicular.

Therefore, 27° = 4x + 3°.

Subtracting 3° from both sides of the equation:

24° = 4x.

Dividing both sides of the equation by 4:

6° = x.

Thus, the value of x is 6.

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