Triangle angles review

Review the basics of triangle angles, and then try some practice problems.

An interior angle is formed by the sides of a polygon and is inside the figure.

The

3

interior angles in every triangle add up to

180^{\circ}

Παράδειγμα:

$109^{\circ} + 23^{\circ} + 48^{\circ} = 180^{\circ}$ ‍

Want to learn more about the interior angles in triangles proof? Check out this video.

Finding a missing angle

Since the sum of the interior angles in a triangle is always

180^{\circ}

, we can use an equation to find the measure of a missing angle.

Παράδειγμα:

Find the value of

x

in the triangle shown below.

We can use the following equation to represent the triangle:

$x^{\circ} + 42^{\circ} + 106^{\circ} = 180^{\circ}$ ‍

The missing angle is

180^{\circ}

minus the measures of the other two angles:

$x^{\circ} = 180^{\circ} - 106^{\circ} - 42^{\circ}$ ‍
$x = 32$ ‍

The missing angle is

32^{\circ}

Want to learn more about finding the measure of a missing angle? Check out this video.

Πρόβλημα 1

Βρείτε την τιμή του $x$ ‍ στο τρίγωνο που φαίνεται παρακάτω.

x =

^{\circ}

Want to try more problems like this? Check out this exercise

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