Question

Someone help Quickly please

Answer 1

The variables x and y have their values to be 50 degrees and 20 degrees, respectively

How to determine the values of the variables?

The triangle, the lines and the angles represent the given parameters

On the triangle, we have the following corresponding angles

Angle 5y and angle 2x

Corresponding angles have equal measure

So, we have the following representation

2x = 5y

Divide both sides by 2

x = 2.5y

The angle on a straight line is 180 degrees

So, we have the following representation

5y + 180 - 2x - (x - y) + 30 = 180

Remove the bracket

So, we have

5y + 180 - 2x - x + y + 30 = 180

Subtract 180 from both sides

This gives

5y - 2x - x + y + 30 = 0

Substitute x = 2.5y in 5y - 2x - x + y + 30 = 0

5y - 2(2.5y) - 2.5y + y + 30 = 0

So, we have

5y - 5y - 2.5y + y + 30 = 0

Evaluate the like terms

1.5y = 30

Divide both sides by 1.5

y = 20

Recall that x = 2.5y

So, we have

x = 2.5 * 20

Evaluate

x =50

Hence, the measures of the variables are x = 50 and y = 20

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brainly.com/question/7620723

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