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There is 2 picture please answer i don't understand

There is 2 picture please answer i don't understand-example-1
There is 2 picture please answer i don't understand-example-1
There is 2 picture please answer i don't understand-example-2
User Falukky
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1 Answer

3 votes

- For question 1-

Given line a and line b are parallel lines, the angle represented with 15x and angle angle represented with 6x + 54 are alternate. Therefore, they are congruent, so we can write the following equation:

15x = 6x + 54

  • Transfer like terms to the same side of the equation.

15x - 6x = 54

  • Subtract like terms.

9x = 54

  • Divide both sides by 54.

x = 6

So the measure of the angle represented with 15x is equal to 90°.

- For question 2-

The angle with a measure of 105° and the angle represented with 5y are alternate angles and congruent.

So,

5y = 105

  • Divide both sides by 5 to isolate y.

y = 21

User Gregory Nozik
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7.7k points