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I've been learning angles on lines and in shapes but I've been struggling with how to go about solving this. Usually you're given more angle values or at least a side value as a starting point - Image of shape but here it's only 90 degrees. I know the parallelogram can be split in to two triangles and that the angles opposite are equal, I also know that the angle left of the 90 is a reflex angle, I just don't know where to go from there and how to use any of that info to get to the next step. I know the answer is x= 52 but the reason wasn't given and I don't understand how they got it. Please can somebody explain it? Thank you.

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  • $\begingroup$ Are any lengths or angles specified? $\endgroup$ – marty cohen May 17 at 22:24
  • $\begingroup$ Only the 90 degree angle is given and they want you to find X, I had to identify a reflex and any acute angles but again, no actual extra values where given, I got it from MathsGenie site GCSE revision practice - mathsgenie.co.uk/resources/15_angles.pdf (the link is to a pdf on mathsgenie.co.uk) but they only give the answer without explaining how they got it. $\endgroup$ – Shiro May 17 at 22:31
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If you read the test paper, it asks you to measure it, i.e use a protractor instead of using geometry! Especially as it is only one mark they aren't after lots of work!

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    $\begingroup$ +1. Importantly, the list of "materials required for examination" (top of first page) includes a protractor. $\endgroup$ – Blue May 17 at 22:34
  • $\begingroup$ I can't believe I overlooked the word measure, I stupidly assumed it wasn't drawn to scale. Thank you. $\endgroup$ – Shiro May 17 at 22:35
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    $\begingroup$ And that! Thank you @Blue $\endgroup$ – Olly Reynolds May 17 at 22:35

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