Question

what is the value of x? (2x + 10)° (6x + 1)° 79° x = 2.25 x = 13 x = 22 x = 11.25

Explanation:

Step1: Use vertical - angle and supplementary - angle relationships

We know that the angle \((2x + 10)^{\circ}\) and the angle \((6x+1)^{\circ}+79^{\circ}\) are supplementary (they form a linear pair). So, \((2x + 10)+(6x + 1)+79=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2x+6x+10 + 1+79=180\), which gives \(8x+90 = 180\).

Step3: Solve for \(x\)

Subtract 90 from both sides: \(8x=180 - 90\), so \(8x=90\). Then divide both sides by 8: \(x=\frac{90}{8}=11.25\).

Answer:

\(x = 11.25\)