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The picture please help me

The picture please help me-example-1
User Engineiro
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1 Answer

4 votes

Answer:

x = 25° and y = 102°

Explanation:

Given the transversal, line O, and that lines n || l :

m < (6x - 48)° and m < y° are vertically opposite angles, and are congruent.

To find the value of y, we can set up the following equation:

180° = 6x - 48° + 78°

180° = 6x - 30°

Subtract 30° on both sides oft the equation:

180°- 30° = 6x + 30° - 30°

150° = 6x

Divide both sides by 6 to solve for x:


(150)/(6) = (6x)/(6)

25° = x

If you plug in the value of x in m < (6x - 48)°, you'll get:

m < (6x - 48)° = [6(25) - 48]° = 150° - 48 = 102°

Since m < (6x - 48)° = 102° and,

y° ≅ m < (6x - 48)°, then:

y° = 102°

The final answers are: x = 25° and y = 102°

You can verify whether this is correct by adding the values of m < (6x - 48)° and 78°, and you should get a sum of 180°.

The picture please help me-example-1
User Cwilliamsz
by
8.3k points

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