Year 7 Geometry: Find the value of angle x in drawing

[browncraig]

Struggling to help son find x. Searching for instructions/guidance

 

[Dr.Peterson]

Struggling to help son find x. Searching for instructions/guidance

Try first finding angle y:

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Alternatively, first find angle z:

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[stapel]

Struggling to help son find x. Searching for instructions/guidance

There should be loads of "instructions/guidance" in your child's textbook.

Also, we have learned that attempting to communicate through a translator (you) who doesn't actually speak the language (geometry, in this case) is highly unlikely to succeed. We need to communicate directly. Since your child is in Year 7, he should be well able to type out his questions for us directly. I will initiate the conversation below the graphic.

View attachment 36386

Hi, there! We understand that you're having some difficulty with the above homework question. We can help!

To get started, please review the "Read Before Posting" message, and then reply here with the requested information, starting with a clear statement of what you're thinking, what you've tried, and where you're getting stuck. It will also be helpful (because theorem-sequence in geometry can vary wildly) if you could please provide us with a list of recent topics of study.

Thank you!

 

[The Highlander]

Struggling to help son find x. Searching for instructions/guidanceView attachment 36386

Guide your son through this webpage (you don't need to do the quizzes at the end unless you want to) and then, working together, follow the hints provided by @Dr.Peterson.

Hope that helps. ?

 

[Steven G]

All right angles have 90^o and opposite angles (also called vertical angles) are equal.

 

[lev888]

I think it's important to have an understanding of the overall approach to solving such problems. You rarely have a ready-made formula. In most cases you need to identify all the angles involved and the relationships among them. Then translate those relationships into equations and solve them.
Example: you are asked to find an angle in a triangle. Solution: identify the other 2 angles. Their values would either be given or you'll need to calculate them. What is the relationship? The sum of all angles in a triangle is 180 degrees. Set up an equation: X + the other 2 angles = 180 and solve it.
In your problem you need to identify the angles that have the same vertex as X. Using various properties of angles mentioned in other replies find their values. The relationship we can use to set up an equation is the sum of all angles as we do a full turn around that vertex is 360 degrees. So, X + all other angles = 360. Solve for X.