The interior angles of a quadrilateral add up to 360. Study About Angle Sum Property of Triangle. When the sides of a quadrilaterals are extended and the exterior angles are produced. But opting out of some of these cookies may affect your browsing experience. So, x = 70 x = 70. We get. trading name of Virtual Class Ltd. With any other shape, you can get much higher values. Requested URL: byjus.com/maths/quadrilateral/, User-Agent: Mozilla/5.0 (iPhone; CPU iPhone OS 14_7_1 like Mac OS X) AppleWebKit/605.1.15 (KHTML, like Gecko) Version/14.1.2 Mobile/15E148 Safari/604.1. 1. 9x=180\\ The sum of the interior angles of a polygon can be calculated with the formula: S = (n 2) 180, where 'n' represents the number of sides of the given polygon. Since the straight angle measures \(180^\circ \),\(\angle PAQ = 180^\circ \), \(\angle PAB + \angle BAC + \angle CAQ = 180^\circ .\left( 1 \right)\), As \(PQ\|BC,\,AB\) is a transversal, and the alternate interior angles are equal.\(\therefore \angle PAB = \angle ABC\left(2\right)\). Hence, Sum of the exterior angles of any polygon is 360. Use the information below to calculate the value of b . We encounter quadrilaterals everywhere in life. Sum of all exterior angles: 360 degrees: Co-interior angles add to equal 180^{\circ}, Diagonally opposite angles in a parallelogram are equal, All angles correspond and the sides are enlarged by a scale factor of 2. Example 2: If 3 interior angles of a quadrilateral are given as 77, 98, and 110, find the 4th angle. Interior and exterior angles formed within a pair of adjacent sides form a complete 180 degrees angle. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Data Structures & Algorithms in JavaScript, Data Structure & Algorithm-Self Paced(C++/JAVA), Full Stack Development with React & Node JS(Live), Android App Development with Kotlin(Live), Python Backend Development with Django(Live), DevOps Engineering - Planning to Production, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Representation of Rational Numbers on the Number Line | Class 8 Maths, Rational Numbers Between Two Rational Numbers | Class 8 Maths, Linear Equations in One Variable Solving Equations which have Linear Expressions on one Side and Numbers on the other Side | Class 8 Maths, Solve Linear Equations with Variable on both Sides, Reducing Equations to Simpler Form | Class 8 Maths, Understanding Quadrilaterals Measures of the Exterior Angles of a Polygon, Types of Quadrilaterals Some Special Parallelograms, Basic Constructions Angle Bisector, Perpendicular Bisector, Angle of 60, Grouping of Data Definition, Frequency Distribution, Histograms, Percent Change & Discounts Comparing Quantities | Class 8 Maths, Prices Related to Buying and Selling (Profit and Loss) Comparing Quantities | Class 8 Maths, Algebraic Expressions and Identities | Class 8 Maths, Mathematical Operations on Algebraic Expressions Algebraic Expressions and Identities | Class 8 Maths, Standard Algebraic Identities | Class 8 Maths, Mapping Space Around Us Visualizing Solid Shapes | Class 8 Maths, Area of Trapezium Mensuration | Class 8 Maths, Surface Area of Cube, Cuboid and Cylinder | Class 8 Maths, Mensuration Volume of Cube, Cuboid, and Cylinder | Class 8 Maths, Volume and Capacity Mensuration | Class 8 Maths, Laws of Exponents& Use of Exponents to Express Small Numbers in Standard Form Exponents and Powers | Class 8 Maths, Direct and Inverse Proportions | Class 8 Maths, Game of Numbers Playing with Numbers | Class 8 Maths, Agricultural Practices Planting, Irrigation, Weeding, Harvesting, Storage, Sowing Definition and Methods of Planting Seeds, Irrigation Definition, Types, Methods, Significance, Food Preservation Definition, Importance and Methods, Physical Properties of Metals and Non-metals, Chemical Properties of Metals and Non-metals, Products of Coal: Coke, Coal Tar and Coal Gas, What is Petroleum?