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2 years ago

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Mathematics

1 answer:

Hunter-Best [27]2 years ago

8 0

<u>Answer:</u>

x = 20; ∠5 = 120°

<u>Step-by-step explanation:</u>

∠1 and ∠8 are alternate angles and therefore are equal, which means that if m ∠1 = (4x + 40)° and m ∠8 = (2x + 80)°, then 4x + 40 = 2x + 80

Solve for x:

4x + 40 = 2x + 80

2x = 40

x = 20

∠5 is corresponding to ∠1 and vertical to ∠8, therefore equal to both; To find it's measure:

Plug x into either ∠1 or ∠8's respective equations:

2x + 80

2(20) + 80

120

∠5 is 120°

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