Answer:
Part 1:
we have to find the value of x
we have been given the lines f and g are parallel
Interior angles on the same side are supplementary.
Hence, the two given angles will be equal to 180
[tex]5x^{\circ}+9x^{\circ}+26^{\circ}=180^{\circ}[/tex]
[tex]14x^{\circ}=180^{\circ}-26^{\circ}[/tex]
[tex]14x^{\circ}=154^{\circ}[/tex]
[tex]x=11^{\circ}[/tex]
Therefore, Option B is correct.
Part 2:
We have to find x
l and m are parallel
Two parallel lines are cut by Transverse line
And angles on the opposite sides that are alternate interior angles are equal
Hence, [tex]x=28^{\circ}[/tex]
Therefore, option A is correct.
Part 3:
a. m∠5=[tex]40^{\circ}[/tex]
and m∠2=[tex]140^{\circ}[/tex]
b. m∠5+m∠2=[tex]40^{\circ}+140^{\circ}=180^{\circ}[/tex]
c.∠5 and ∠2 are supplementary because they are [tex]180^{\circ}[/tex]
d.∠5 and ∠2 are same side interior angles since, they are [tex]180^{\circ}[/tex]
e. a || b since, a is [tex]180^{\circ}[/tex] and b is also [tex]180^{\circ}[/tex].