Answer:
The measure of [tex]m{\angle}b[/tex] is [tex]79^{\circ}[/tex].
Step-by-step explanation:
Given: Lines a and b are parallel to each other.
To find: The measure of the angle b.
Solution: It is given that Lines a and b are parallel to each other, thus using the parallel lines properties, we have
[tex]m{\angle}a=79^{\circ}[/tex] (Vertically opposite angles)
Now, [tex]m{\angle}a[/tex] and [tex]m{\angle}b[/tex] forms the corresponding angle pair, thus they are congruent.
Hence, [tex]m{\angle}a[/tex]=[tex]m{\angle}b[/tex]=[tex]79^{\circ}[/tex].
Therefore, the measure of [tex]m{\angle}b[/tex] is [tex]79^{\circ}[/tex].
