Triangle Angle Relationships and Properties

The video tutorial covers angle theorems for triangles, focusing on the sum of angles in a triangle and the exterior angle theorem. It provides examples and guided practice to help understand these concepts, emphasizing that the sum of angles in any triangle is always 180 degrees and how exterior angles relate to remote interior angles.

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

• 270 degrees

• 360 degrees

• 90 degrees

• 180 degrees

If two angles of a triangle are 112 degrees and 35 degrees, what is the measure of the third angle?

• 33 degrees

• 45 degrees

• 63 degrees

• 53 degrees

According to the exterior angle theorem, an exterior angle of a triangle is equal to:

• The average of the two remote interior angles

• The sum of the two adjacent interior angles

• The sum of the two remote interior angles

• The difference between the two remote interior angles

If an exterior angle of a triangle is 150 degrees and one of the remote interior angles is 30 degrees, what is the measure of the other remote interior angle?

• 180 degrees

• 150 degrees

• 90 degrees

• 120 degrees

Can a triangle have two right angles?

• Yes, always

• No, because the sum would exceed 180 degrees

• Yes, but only in an isosceles triangle

• No, because it would not form a closed shape

In a right triangle, what is the sum of the two acute angles?

• 45 degrees

• 180 degrees

• 60 degrees

• 90 degrees

If a triangle has angles 71 degrees and 56 degrees, what is the measure of the third angle?

• 53 degrees

• 63 degrees

• 83 degrees

• 73 degrees

What is the measure of angle M if 5y + 3 + 4y + 8 = 146?

• 98 degrees

• 88 degrees

• 78 degrees

• 68 degrees

How many exterior angles does a triangle have at each vertex?

• Three

• One

• Four

• Two

What is the relationship between the measures of angles in a triangle?

• They are all equal

• They sum up to 180 degrees

• They sum up to 360 degrees

• They are all right angles