Question

I dont know how to do this so if you could explain the work also that would be great

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{m ∠EFG = 96°}}}}}`

`\boxed{ \bold{ \huge{ \boxed{ \sf{m∠GFH = 84°}}}}}`

Explanation:

Sum of linear pair add to 180°

Let's create an equation and solve for n

`\sf{m∠EFG + m∠GFH = 180 °\: }`

`\longrightarrow{ \sf{5n + 16 + 4n + 20}} = 180°`

`\longrightarrow{ \sf{9n + 36 = 180°}}`

`\longrightarrow{ \sf{9n = 180° - 36}}`

`\longrightarrow{ \sf{9n = 144}}`

`\longrightarrow{ \sf{ (9n)/(9) = (144)/(9)}}`

`\longrightarrow{ \sf{n = 16}}`

Replacing / Substituting the value of n in 5n + 16 in order to find the value of m ∠ EFG

`\sf{m ∠EFG = 5n + 16 = 5 * 16 + 16 = 96}`

Replacing / Substituting the value of n in 4n + 20 in order to find the value of m ∠GFH

`\sf{m ∠GFH = 4n + 20 = 4 * 16 + 20 = 84}`

Hope I helped!

Best regards! :D