Finding Missing Angles in a Quadrilateral

Front

What is a quadrilateral?

Back

A quadrilateral is a polygon with four sides, four vertices, and four angles.

Front

What is the sum of the interior angles of a quadrilateral?

Back

The sum of the interior angles of a quadrilateral is 360 degrees.

Front

If one angle of a quadrilateral is 90 degrees, what is the sum of the other three angles?

Back

The sum of the other three angles is 270 degrees.

Front

How do you find a missing angle in a quadrilateral?

Back

To find a missing angle, subtract the sum of the known angles from 360 degrees.

Front

If three angles of a quadrilateral are 90 degrees, 80 degrees, and 70 degrees, what is the fourth angle?

Back

The fourth angle is 120 degrees.

Front

What is the formula to calculate the missing angle x in a quadrilateral?

Back

x = 360 - (sum of known angles).

Front

What is an exterior angle of a quadrilateral?

Back

An exterior angle is formed by one side of the quadrilateral and the extension of an adjacent side.

Front

What is the relationship between an exterior angle and the interior angles of a quadrilateral?

Back

An exterior angle is equal to the sum of the two opposite interior angles.

Front

If two angles of a quadrilateral are equal, how can you express the other two angles?

Back

Let the equal angles be x; then the other two angles can be expressed as 360 - 2x.

Front

What is the significance of knowing the angles in a quadrilateral?

Back

Knowing the angles helps in solving problems related to the shape, area, and properties of the quadrilateral.