Angles in a Quadrilateral Worksheets

Explore the angles in quadrilaterals worksheets featuring practice sets on identifying a quadrilateral based on its angles, finding the indicated angles, solving algebraic equations to determine the measure of the angles, finding the angles in special quadrilaterals using the vertex angle and diagonal properties and more.

Quadrilateral or not?

The sum of the angles in a convex quadrilateral add up to 360°. Add the angles in each set and figure out which sets of angles satisfy the angle sum property of quadrilaterals and form a quadrilateral.

Find the indicated angle in each Quadrilateral

Instruct high-school students to add the measures of the three angles and subtract their sum from 360°, to determine the measure of the indicated fourth angle.

Algebra in Quadrilaterals | Solve for 'x'

The measure of one of the angles of the quadrilateral is offered as an algebraic expression. Add up the angles and equate with 360°. Solve for 'x' to complete the worksheet.

Find the indicated angles | Solve for 'x' - Level 1

Determine the measure of the indicated angles in a quadrilateral; two of whose angles are depicted as algebraic expressions. Simplify the expressions, find 'x' and compute the measure of the unknown angle(s).

Find the indicated angles | Solve for 'x' - Level 2

Level up with these worksheets offering three angle measures as linear expressions. Apply angle-sum property, solve for 'x', and find the indicated angle(s).

Special Quadrilaterals - Vertex angles

The congruent parts are marked and the measures of one or two angles of the special quadrilaterals are provided. Apply relevant properties to find the measure of the indicated vertex angles of quadrilaterals.

Special Quadrilaterals - Diagonal

The diagonals bisecting the vertex angles of the special quadrilaterals are depicted and the congruent parts are marked in this array of worksheets. Use appropriate quadrilateral properties to find the specified angle(s).

Angles in Special Quadrilaterals | Vertex angles

Featured here are special quadrilaterals, providing two angle measures, of which one is an algebraic expression. Apply relevant angle properties to form an equation with the given angles and solve for 'x'.

Angles in Special Quadrilaterals | Diagonal

Each worksheet comprises eight special quadrilaterals with diagonals. Using appropriate quadrilateral properties, equate the algebraic expression with the given angle and solve for 'x'.

Angles in Special Quadrilaterals | Mixed Review

This bundle of revision worksheets encompasses quadrilaterals with angle measures offered as algebraic expressions. Equate the expressions applying relevant theorems and solve for 'x'. Use the value of 'x' to determine the measure of the indicated angle(s).