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HELPPPPPPPPPPPP ITS DUE TODAY.

HELPPPPPPPPPPPP ITS DUE TODAY.-example-1

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3 votes

Answer:

x = 11

Explanation:

Angle XWZ form a right angle. All right angles are 90 degrees.

Angle XWZ and formed by the angles XWY and YWZ.

Therefore, angle XWY + angle YWZ = XWZ

mXWY = 5x + 5

mYWZ = 2x + 8

mXWZ = 90

mXWY + mYWZ = mXWZ

(5x + 5) + (2x + 8) = 90

5x + 2x + 5 + 8 = 90

7x + 13 = 90

7x = 90 - 13

7x = 77

x = 77/7

x = 11

User Arleta
by
8.5k points
1 vote

Answer:

In the given diagram, we are told that angle ZXWZ is 90 degrees. We need to find the value of angle X.

We can start by using the fact that the sum of angles in a straight line is 180 degrees. Since angles Z and W are adjacent and add up to 180 degrees, we can write:

Z + W = 180

Next, we can use the information given about angles Y, Z, and W. We know that the measure of angle Y is (5x + 5) degrees and the measure of angle Z is -(2x + 8) degrees. So we can write:

Y + Z + W = 180

Substituting the given expressions for angles Y and Z, we have:

(5x + 5) + (-(2x + 8)) + W = 180

Simplifying this equation, we get:

5x + 5 - 2x - 8 + W = 180

Combining like terms, we have:

3x - 3 + W = 180

Next, we use the information that angle ZXWZ is 90 degrees. This means that the sum of angles Z and W is 90 degrees. So we can write:

Z + W = 90

Substituting this equation into our previous equation, we get:

3x - 3 + (Z + W) = 180

Simplifying further, we have:

3x - 3 + 90 = 180

Combining like terms, we get:

3x + 87 = 180

To solve for x, we can subtract 87 from both sides:

3x = 180 - 87

3x = 93

Dividing both sides by 3, we find:

x = 31

Therefore, the value of x is 31.

User Ezze
by
8.8k points

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