We know, the amount of the angles of a triangle = 180° since there are two triangles, therefore, the amount of two triangles is 180° + 180° = 360°
*

Note: The amount of the 4 angles is 360°.

You are watching: What is the sum of angles in a quadrilateral

For Example:1. In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and also ∠C = 70°, find ∠D.Solution: Here the amount of the 4 angles or, ∠A + ∠B + ∠C + ∠D = 360°We know, ∠A = 100°, ∠B = 105° and also ∠C = 70°or, 100° + 105° + 70° + ∠D = 360°or, 275° + ∠D = 360°∠D = 360° - 275° Therefore, ∠D = 85°

2. uncover the measure of the absent angles in a parallelogram, if ∠A = 70°.


*

Solution:We understand the opposite angles of a parallelogram room equal.So, ∠C will likewise measure 70°Sum of angle = 360°∠A + ∠B + ∠C + ∠D = 360°or, 70° + ∠B + 70° + ∠D = 360° (We know, ∠A = ∠C )or, ∠B + ∠D + 140° = 360°or, ∠B + ∠D = 360° - 140° or, ∠B + ∠D = 220°But ∠B = ∠D (Because opposites angle of a parallelogram room equal)∠B = ∠D = 220° ÷ 2 = 110° Therefore, ∠B = 110°, ∠C = 70° and also ∠ D = 110°

● Quadrilaterals.

Elements that a Quadrilateral.

Types of Quadrilaterals.

Parallel Lines.

Perpendicular Lines.

Construction the Perpendicular present by using a Protractor.

Sum of angles of a Quadrilateral.

Worksheet top top Quadrilateral.

Practice test on Quadrilaterals.

5th Grade Geometry Page 5th Grade math Problems From amount of angle of a square to home PAGE


New! Comments

Have your say about what you just read! leaving me a comment in the box below. Questioning a concern or prize a Question.

See more: What Region Of North America Is Most Densely Populated Region Of North America?


Didn"t find what you were looking for? Or desire to know much more informationabout Math just Math.Use this Google find to uncover what you need.


Share this page: those this?


FacebookTwitterPinterestWhatsAppMessenger
Subscribe to This Site
E-mail Address
First Name
Then Don't worry — her e-mail deal with is entirely secure. I promise to usage it only come send friend Math just Math.