Question

find the value of x in the following parallelogram. 124° (2x + 16)° (2x + 16)° 124° x = ?

Explanation:

Step1: Use property of parallelogram

In a parallelogram, adjacent angles are supplementary, i.e., they add up to 180°. So, \(124+(2x + 16)=180\).

Step2: Simplify the left - hand side

Combine like terms: \(124+16+2x=180\), which gives \(140 + 2x=180\).

Step3: Isolate the variable term

Subtract 140 from both sides: \(2x=180 - 140\), so \(2x = 40\).

Step4: Solve for x

Divide both sides by 2: \(x=\frac{40}{2}\).

Answer:

20