# How can I solve x in this shape?

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.

• Are any lengths or angles specified? – marty cohen May 17 at 22:24
• 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. – Shiro May 17 at 22:31