Question

find the value of x in the following parallelogram. 67° (3x - 8)° x = ?

Explanation:

Step1: Recall parallelogram property

In a parallelogram, adjacent - angles are supplementary (their sum is 180°).
So, \(67+(3x - 8)=180\).

Step2: Simplify the left - hand side of the equation

First, combine like terms: \(67-8 + 3x=180\), which gives \(59+3x=180\).

Step3: Isolate the variable term

Subtract 59 from both sides of the equation: \(3x=180 - 59\), so \(3x=121\).

Step4: Solve for x

Divide both sides by 3: \(x=\frac{121}{3}\approx40.33\).

Answer:

\(x = \frac{121}{3}\)