Question

solve for x.
81°
(7x - 3)°
x =
submit
work it out
not feeling ready yet? these can help:
transversals of parallel lines: fl.. (81)
solve linear equations: mixed
lesson: transversals of parallel lines

Explanation:

Step1: Identify angle - relationship

Since the two vertical lines are parallel, the angles \(81^{\circ}\) and \((7x - 3)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(7x-3 = 81\).

Step2: Solve the equation for \(x\)

Add 3 to both sides of the equation: \(7x-3 + 3=81 + 3\), which simplifies to \(7x=84\).

Step3: Isolate \(x\)

Divide both sides of the equation \(7x = 84\) by 7: \(x=\frac{84}{7}\).

Answer:

12