The sum of the four angle measures of any convex quadrilateral is 360^\circ. Suppose that a...

Question:

The sum of the four angle measures of any convex quadrilateral is {eq}360^\circ {/eq}. Suppose that a convex quadrilateral has angle measures of {eq}90^\circ, (10y + 4)^\circ, and\ (3y - 2)^\circ {/eq}. Write an expression for the degree measure of the fourth angle.

Interior Angles:

Interior angles are the angles inside the polygon formed by the line segments. The sum of these interior angles would depend on the number of sides of the polygon. In the case of a triangle it would be {eq}180^\circ {/eq} and for a quadrilateral it would be {eq}360^\circ {/eq}.

Answer and Explanation: 1

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Let {eq}\angle D {/eq} represent the fourth angle in the sum of the interior angles. To find it's measure, it can be derived from the sum of the...

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Types of Angles: Vertical, Corresponding, Alternate Interior & Others

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Chapter 14 / Lesson 9
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What are the types of angles and angle relationships? Learn about corresponding interior angles, alternate corresponding angles, and angle relationships names.


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