Question

17 numeric 1 point
find the value of x:

answer

18 multiple choice 1 point
based on the information given in the following diagram, are lines / and m parallel?

yes
no

Explanation:

Question 17

Step1: Identify angle relationship

The two angles \((2x - 18)^\circ\) and \(50^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).

$$ (2x - 18) + 50 = 180 $$

Step2: Solve for x

Simplify the equation:

$$ 2x + 32 = 180 $$

Subtract 32 from both sides:

$$ 2x = 180 - 32 = 148 $$

Divide by 2:

$$ x = \frac{148}{2} = 74 $$

For lines \(l\) and \(m\) to be parallel, corresponding angles (or alternate interior/exterior angles) should be equal. The given angles are \(75^\circ\) and \(71^\circ\), which are not equal. So the lines are not parallel.

Answer:

74

Question 18