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9 votes
Solve for x:

x =
Answers: 22.5 30 45

Solve for x: x = Answers: 22.5 30 45-example-1
User Dalisa
by
7.7k points

1 Answer

10 votes
Answer: 22.5 degrees

Explanation:

As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.

=> All the angles sum up to 180.

Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5

Therefore, x = 22.5 degrees

Verification:

=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS
User Vincenzo Lavorini
by
9.5k points

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