# Math Help - Prove two angles are equal

1. ## Prove two angles are equal

Hi, here is the question:

I'm not exactly sure how this is solved, but I'm thinking similar triangles/congruency is involved as some smaller triangles share sides, perpendicular angles etc.

2. $\widehat{MAQ}=90-\widehat{AMQ}$

$\widehat{PAK}=90-\widehat{APK}$

But PMQA is a cyclic quadrilater and $\widehat{AMQ}=\widehat{APK}$

Therefore, $\widehat{MAQ}=\widehat{PAK}$