Find the values of x and y, given the diagram below.

image shows two intersecting lines. the measures of three of the angles are shown. one of the two vertical angles has measure 2x + 1 degrees and the other has measure 45 degrees. the third angle shown has measure 5y.
A. x = 22, y = 9
B. x = 22, y = 27
C. x = 23, y = 9
D. x = 23, y = 27

Question

Find the values of x and y, given the diagram below.

image shows two intersecting lines.  the measures of three of the angles are shown.  one of the two vertical angles has measure 2x + 1 degrees and the other has measure 45 degrees.  the third angle shown has measure 5y.
 A. x = 22, y = 9
 B. x = 22, y = 27
 C. x = 23, y = 9
 D. x = 23, y = 27

elisaneedshelp · Answer

attachment

mathstudent55 · Answer

What do you know about the measures of vertical angles?

elisaneedshelp · Answer

vertical angles are reflexive/equal

mathstudent55 · Answer

Right. Their measures are equal.
Set the measures of the 2 vertical angles equal to each other, and solve the equation for x.

mathstudent55 · Answer

That's how you find x.

mathstudent55 · Answer

Have you gotten x?

elisaneedshelp · Answer

im struggling but im trying

mathstudent55 · Answer

Did you understand what I suggested you do above?

mathstudent55 · Answer

The two vertical angles measure 2x + 1 and 45. Right?

elisaneedshelp · Answer

yeah

mathstudent55 · Answer

You know that vertical angles have the same measure. You said so above.
That means that 2x + 1 must equal 45.
Now that can be written as an equation:
2x + 1 = 45

mathstudent55 · Answer

Now we need to solve this equation to find x.

mathstudent55 · Answer

You want to isolate x.
The first step is to subtract 1 from both sides.

elisaneedshelp · Answer

x=22

mathstudent55 · Answer

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