Question

complete the statements about the relationship between the two labeled angles.
the two labeled angles are
that means that their meas
adjacent angles a linear pair angles complementary vertical angles
view solution history

Explanation:

Step1: Recall vertical angles property

Vertical angles are equal.

Step2: Set up equation

Since the two angles \(40^{\circ}\) and \((6x + 27)^{\circ}\) are vertical angles, we have \(6x+27 = 40\).

Step3: Solve for \(x\)

Subtract \(27\) from both sides: \(6x=40 - 27\), so \(6x = 13\). Then \(x=\frac{13}{6}\approx2.17\).

Answer:

The two labeled angles are vertical angles. So \(6x + 27=40\), solving gives \(x=\frac{13}{6}\).