Question

6
if l||m, find
the value of x.
a) 18 the mall
b) 5.3 the bank
c) 24 the baseball field
d) 20.9 the aquarium
e) 22 the post office

Explanation:

Step1: Identify angle relationship

Since \(l \parallel m\), the alternate interior angles formed by transversal \(k\) are equal. Also, the vertical angle of \(50^\circ\) and \((2x)^\circ\) form a supplementary pair with \((5x-16)^\circ\), so:
\(50 + 2x = 5x - 16\)

Step2: Rearrange terms to isolate x

Bring like terms to one side:
\(50 + 16 = 5x - 2x\)

Step3: Simplify and solve for x

Calculate sums and differences:
\(66 = 3x\)
\(x = \frac{66}{3} = 22\)

Answer:

E) 22 the post office