Math  /  Geometry

QuestionZiibi drew a square. Starting at one corner and moving around the square, he labelled the vertices J,K,LJ, K, L, and MM, in order. He drew points PP and QQ outside the square so that both JMP\triangle J M P and MLQ\triangle M L Q are equilateral.
Determine the measure, in degrees, of MPQ\angle M P Q.

Studdy Solution
The angle PMQ\angle PMQ is the external angle to JML\angle JML and JMP\angle J M P. Therefore, PMQ=180JML=18090=90\angle PMQ = 180^\circ - \angle JML = 180^\circ - 90^\circ = 90^\circ.
The measure of MPQ\angle M P Q is:
90 \boxed{90^\circ}

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