Three interior angIes of a quadrilateral have measures of 111°, 134°, and 69°. What is the fourth angle measure?

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Answer 1 · 2015-12-03T16:03:57

#46°#

The sum of the interior angles of a quadrilateral is #360°#.

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This hold true for all quadrilaterals because they can be drawn as #2# triangles, and the internal sum of a triangle's angles is #180°#.

.We already know three of the angles. We can say:

#111°+134°+69°+x°=360°#

#314°+x°=360°#

#x°=46°#