Find the measure of the (2y-1)° angle

69 degrees

Step-by-step explanation:

1) Find x

The angles measured x degrees and (x-28) degrees have a sum of 180 degrees because straight lines always have a measure of 180 degrees. Knowing this, construct the equation:

Add 28 to both sides

Divide both sides by 2

Therefore, x is equal to 104 degrees.

2) Find the measure of the (x-28) degree angle

Plug x into x-28

Therefore, the measure of this angle is 76 degrees.

3) Find y

All the interior angles in any triangle will add up to 180 degrees. Knowing this, we can construct another equation:

Open up the parentheses

Subtract both sides by 75

Divide both sides by 3

Therefore, y is equal to 35 degrees.

4) Find the measure of the (2y-1) degree angle

Plug y into 2y-1

Therefore, y is equal to 69 degrees.

I hope this helps!

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