Question

1. find the value of x. 115° (5x - 10)°

Explanation:

Step1: Use the property of adjacent supplementary angles

Adjacent supplementary angles sum to \(180^{\circ}\). So, \(115+(5x - 10)=180\).

Step2: Simplify the left - hand side of the equation

\(115+(5x - 10)=5x+(115 - 10)=5x + 105\). The equation becomes \(5x+105 = 180\).

Step3: Solve for \(x\)

Subtract \(105\) from both sides: \(5x=180 - 105\). So, \(5x=75\). Then divide both sides by \(5\): \(x=\frac{75}{5}\).

Answer:

\(x = 15\)