Angle Sum Property of a Quadrilateral Worksheet
1. In a quadrilateral, the measures of three angles are 80°, 100°, and 120°. What is the measure of the fourth angle?
2. The angles of a quadrilateral are in the ratio 2:3:4:5. Find the measure of each angle.
3. In a quadrilateral, one angle measures 110°, and the other three angles are congruent. What is the measure of each congruent angle?
4. The measures of three angles in a quadrilateral are 70°, 80°, and 100°. What is the measure of the fourth angle?
5. If the sum of the measures of two angles in a quadrilateral is 160°, and the other two angles are equal, what is the measure of each equal angle?
Angle Sum Property of a Quadrilateral
Angle Sum Property of a Quadrilateral: Quadrilaterals are encountered everywhere in life, every square rectangle, any shape with four sides is a quadrilateral. We know, three non-collinear points make a triangle. Similarly, four non-collinear points take up a shape that is called a quadrilateral. It has four sides, four angles, and four vertices.
Both the figures above are examples of quadrilaterals. ABCD is a quadrilateral. AB, BC, CD, and DA are the four sides of the quadrilateral. A, B, C, and D are four vertices, and ∠A, ∠B, ∠C, and ∠D are the angles of this quadrilateral. Before coming to the Angle Sum Property of Quadrilateral we have to know some basic terminologies of quadrilateral, which are discussed below in the article.
Table of Content
- About Angle Sum Property of a Quadrilateral
- What is the Angle Sum Property of a Quadrilateral?
- Theorem: Sum of all four angles of a quadrilateral is 360°.
- Angle Sum Property of a Quadrilateral Proof
- Quadrilateral Angles
- Do Sum of Opposite Angles in a Quadrilateral equal 180 Degrees?
- Types of Quadrilaterals
- Solved Examples on Angle Sum Property of Quadrilateral
- Angle Sum Property of a Quadrilateral Worksheet