Question

what is the value of x?

x = 2.25
x = 11.25
x = 13
x = 22
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Explanation:

Step1: Use the property of supplementary angles

We know that the sum of angles on a straight line is \(180^{\circ}\). The angle adjacent to \(79^{\circ}\) is \(180 - 79=101^{\circ}\). Also, vertical angles are equal. So, \((6x + 1)+(2x + 10)=101\).

Step2: Simplify the equation

Combine like - terms: \(6x+2x+1 + 10=101\), which gives \(8x+11 = 101\).

Step3: Solve for \(x\)

Subtract 11 from both sides: \(8x=101 - 11\), so \(8x=90\). Then divide both sides by 8: \(x=\frac{90}{8}=11.25\).

Answer:

\(x = 11.25\)