Find the measure of each angle: ∠3 and ∠4 are supplementary. m∠3 = 5x + 22 and m∠4 = 7x + 2.

Step-by-step explanation:

Since ∠3 and ∠4 are supplementary it means the the sum of their angles is equal to 180°

To find the angles add both ∠3 and ∠4 and equate it to 180° solve for x and substitute it into their various expressions

That's

∠3 + ∠4 = 180

5x + 22 + 7x + 2 = 180

12x + 24 = 180°

12x = 180 - 24

12x = 156

Divide both sides by 12

x = 13

So for ∠3

∠3 = 5x + 22

∠3 = 5(13) + 22

= 65 + 22

∠3 = 87°

For ∠4

∠4 = 7x + 2

∠4 = 7(13) + 2

= 91 + 2

∠4 = 93°

We have the answers as

Hope this helps you

Step-by-step explanation:

We know that the sum of supplementary angle adds up to 180 °

So,

Collect like terms

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Add the numbers

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Move 24 to right hand side and change it's sign

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Subtract 24 from 180

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Divide both sides of the equation by 12

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Calculate

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Value of x = 13

Now, substituting / Replacing the value of x

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⇒

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Again,

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⇒

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m ∠ 3 = 87

m ∠ 4 = 93

Hope I helped!

Best regards!!

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

36

step-by-step explanation: