Question

what is the measure of angle o in parallelogram lmno?
35°
75°
105°
155

Explanation:

Step1: Use adjacent angles property

In a parallelogram, adjacent angles are supplementary. So, \((x + 40)+3x=180\).

Step2: Solve the equation

Combine like - terms: \(4x+40 = 180\). Subtract 40 from both sides: \(4x=180 - 40=140\). Divide by 4: \(x=\frac{140}{4}=35\).

Step3: Find angle \(O\)

Angle \(O = 3x\). Substitute \(x = 35\): \(3\times35=105\).

Answer:

\(105^{\circ}\) (the third option)