Angles inside quadrilateral
for 5th grade
Use the fact that angles inside a quadrilateral sum to 360° to find the missing angle X
Angles inside a quadrilateral
A quadrilateral is a polygon with 4 vertices and 4 sides. Squares and rectangles are examples of a subset of quadrilaterals that have parallel sides.
The sum of the 4 angles inside any quadrilateral sum to 360°. You can prove this to yourself by drawing a line between either pair of opposite angles. You will have created 2 triangles and we know that the sum of the 3 angles in a triangle sum to 180°. The sum of the angles in 2 triangles therefore sum to 180 x 2 = 360°.
To calculate a missing angle inside a quadrilateral, simply take away the sum of the remaining 3 angles from 360. For example, given a quadrilateral with interior angles of 90°, 90° and 54° plus a missing angle x, we can calculate that x will be:
x = 360° - 90° - 90° - 54° = 126°
Notes on this topic
In this topic you are asked to calculate a single missing angle given the other 3 for a variety of forms of quadrilaterals. There are 6 question answer pairs in the lesson, and 16 question answer pairs in total.
Below is a table showing the first 6 question answer pairs for the topic "Angles inside quadrilateral" as used in the lessons for this topic. Our games and tests for the topic use these 6 items plus 10 additional question answer pairs.
The topic "Angles inside quadrilateral" is in the category Shapes for 5th grade (ages 10 to 11).
Revise 'Angles inside quadrilateral' with one of our games for 5th grade
Each of our math topics for elementary are made up of between 6 and 20 question and answer pairs (both the written form and a robot voice speaking those questions and answers). Each topic can be used with all the activities on the site.
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