Question

current skill
-4x + 168
3x + 27
7
6
8
find the measure of angle 7.

Explanation:

Step1: Use the property of corresponding angles

Since \(3x + 27\) and \(-4x+168\) are corresponding angles, we have the equation \(3x + 27=-4x + 168\).

Step2: Solve the equation for \(x\)

Add \(4x\) to both sides: \(3x+4x + 27=-4x+4x + 168\), which simplifies to \(7x+27 = 168\).
Subtract \(27\) from both sides: \(7x+27-27=168 - 27\), so \(7x=141\).
Divide both sides by \(7\): \(x = 21\).

Step3: Find the measure of \(3x + 27\)

Substitute \(x = 21\) into \(3x + 27\): \(3\times21+27=63 + 27=90\).

Step4: Use the property of vertical angles

Angle \(7\) and \(3x + 27\) are vertical angles. Vertical angles are equal.

Answer:

\(90^{\circ}\)