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Step-by-step explanation:
The two angles are consecutive exterior angles so their sum is 180° if the two lines are parallel. Therefore,
[tex](5b + 16) + (b + 32) = 180[/tex]
[tex]\Rightarrow 6b + 48 = 180[/tex]
or
[tex]b = 22[/tex]
Corresponding exterior angles are equal.
[tex]\\ \sf\longmapsto 5b+16=b+32[/tex]
[tex]\\ \sf\longmapsto 5b-b=32-16[/tex]
[tex]\\ \sf\longmapsto 4b=16[/tex]
[tex]\\ \sf\longmapsto b=\dfrac{16}{4}[/tex]
[tex]\\ \sf\longmapsto b=4[/tex]