Exploring Angles in Triangles

What is the sum of the interior angles of any triangle?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

How many interior angles does a triangle have?

• One

• Two

• Four

• Three

What type of angles are formed when a transversal crosses parallel lines?

• Alternate interior angles

• Corresponding angles

• Adjacent angles

• Vertical angles

If two angles of a triangle are 50 degrees and 95 degrees, what is the measure of the third angle?

• 35 degrees

• 25 degrees

• 45 degrees

• 55 degrees

In the equation 3x + 28 + 5x + 52 + 2x - 10 = 180, what is the value of x?

• 13

• 12

• 11

• 10

What is an exterior angle of a triangle?

• An angle inside the triangle

• An angle formed by a side and an extension of an adjacent side

• An angle formed by two sides of the triangle

• An angle that is always 90 degrees

What are remote interior angles?

• Angles inside the triangle

• Angles opposite to the exterior angle

• Angles outside the triangle

• Angles adjacent to the exterior angle

If an exterior angle of a triangle is 149 degrees, and one remote interior angle is 63 degrees, what is the measure of the other remote interior angle?

• 66 degrees

• 76 degrees

• 96 degrees

• 86 degrees

In the equation 5y + 3 + 4y + 8 = 146, what is the value of y?

• 13

• 14

• 15

• 16

What is the relationship between an exterior angle and its remote interior angles?

• The exterior angle is half the sum of the remote interior angles

• The exterior angle is unrelated to the remote interior angles

• The exterior angle is equal to the sum of the remote interior angles

• The exterior angle is double the sum of the remote interior angles