Triangle Angle Relationships and Properties

The video tutorial covers the concepts of interior and exterior angles in triangles, emphasizing that the sum of interior angles is always 180 degrees. It provides step-by-step solutions to find unknown angles in various triangle problems, including right, obtuse, and acute triangles. The tutorial also explains how to calculate exterior angles using the properties of straight angles and fact families.

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

• 270 degrees

• 90 degrees

• 180 degrees

• 360 degrees

If one angle of a triangle is a right angle, what is its measure?

• 120 degrees

• 45 degrees

• 60 degrees

• 90 degrees

In a triangle, if two angles are 33 degrees and 90 degrees, what is the measure of the third angle?

• 77 degrees

• 67 degrees

• 57 degrees

• 87 degrees

How do you find the value of x in a triangle where the angles are x, x+75, and 32 degrees?

• Subtract from 360

• Set up an equation equal to 180

• Add all angles to 90

• Use Pythagorean theorem

What is the measure of an exterior angle in a triangle?

• Equal to 90 degrees

• Equal to 180 degrees

• Equal to the largest interior angle

• Equal to the sum of the opposite interior angles

If two interior angles of a triangle are 57 and 77 degrees, what is the measure of the third angle?

• 46 degrees

• 56 degrees

• 76 degrees

• 66 degrees

In a triangle, if the exterior angle is 131 degrees, what is the sum of the two opposite interior angles?

• 90 degrees

• 131 degrees

• 49 degrees

• 180 degrees

What is the relationship between a straight angle and the sum of interior angles in a triangle?

• Both are 90 degrees

• Both are 180 degrees

• Both are 360 degrees

• Both are 270 degrees

In a triangle, if x + 50 + c = 180, what does c represent?

• An interior angle

• An exterior angle

• A straight angle

• A right angle

How can you solve for a variable in a triangle problem involving angles?

• Divide by 2

• Set up an equation equal to 180

• Use the Pythagorean theorem

• Multiply by 3