In the figure below, $ABCD$ is a square, where $AC$, $BD$ are the diagonals, intersecting

Question

In the figure below, $ABCD$ is a square, where $AC$, $BD$ are the diagonals, intersecting at $M$. A line segment that passes through $M$ intersects $AB$, $CD$ at $E$ and $F$, respectively. Given that angle $CFM = 82^{\circ}$, find the sizes of angle $AEM$, angle $CMF$, angle $BME$,

Accepted Answer

(i) $82^\circ$ (ii) $53^\circ$ (iii) $37^\circ$

Angles Formed by Two Parallel Lines and a Transversal

Angles Formed by Two Parallel Lines and a Transversal

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