### Angles

Quadrilaterals are polygons with exactly four sides and four angles.  One of the facts about a quadrilateral that we need to understand is that the sum of the four angles in a quadrilateral is always $$360^\circ$$. That is, if you add up each of the four angles in a quadrilateral, the total measure is $$360^\circ$$.

EXAMPLE:  Solve for $$x$$. SOLUTION:  The figure in this problem is a quadrilateral.  Then all four of the angles in this quadrilateral will add up to $$360^\circ$$. That is,

$$70^\circ + \left( {23x - 5} \right)^\circ + 110^\circ + \left( {14x} \right)^\circ = 360^\circ$$

Simplifying the left side of this equation, we obtain

$$70^\circ + \left( {23x - 5} \right)^\circ + 110^\circ + \left( {14x} \right)^\circ = 360^\circ$$
$$37x + 175^\circ = 360^\circ$$
$$37x = 185^\circ$$
$$x = 5^\circ$$

So $$x = 5^\circ$$.

EXAMPLE:  Solve for $$x$$. SOLUTION:  Again, the object in question is a quadrilateral.  If we add up all four angles in this quadrilateral, the sum will be $$360^\circ$$. That is,

$$\left( {24x + 3} \right)^\circ + 86^\circ + 75^\circ + 100^\circ = 360^\circ$$
$$24x + 264^\circ = 360^\circ$$,
$$24x = 96^\circ$$
$$x = 4^\circ$$ 4977 x

Find the measure of each angle indicated.

This free worksheet contains 10 assignments each with 24 questions with answers.

Example of one question: Watch below how to solve this example: 3394 x

Solve for x.

This free worksheet contains 10 assignments each with 24 questions with answers.

Example of one question: Watch below how to solve this example: 3338 x

Find the measure of each angle indicated.

This free worksheet contains 10 assignments each with 24 questions with answers.

Example of one question: Watch below how to solve this example:

### Geometry

Circles
Congruent Triangles
Constructions
Parallel Lines and the Coordinate Plane
Properties of Triangles

### Algebra and Pre-Algebra

Beginning Algebra
Beginning Trigonometry
Equations
Exponents
Factoring
Linear Equations and Inequalities
Percents
Polynomials