What is that angle?

Geometry Level 1

$ABCD$ is a convex quadrilateral such that $\angle ABC = \angle ADC = 90^\circ$ . If $\angle BAD = 50^\circ$ , what is the measure (in degrees) of $\angle BCD$ ?

The answer is 130.

1 solution

Arron Kau Staff
May 13, 2014

Since the interior angles of a quadrilateral sum to $360^\circ$ , we have $\angle BCD = 360^\circ - \angle CBA - \angle BAD - \angle ADC = 360^\circ - 90^\circ - 50 ^\circ - 90 ^ \circ = 130 ^\circ .$

What is that angle?

The answer is 130.

1 solution

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