Classifying Triangles and Exploring Angle Theorems

This video tutorial covers the classification of triangles by their sides and angles, including scalene, isosceles, equilateral, acute, right, obtuse, and equiangular triangles. It explains the concepts of interior and exterior angles and provides theorems related to them. The video also includes examples and problem-solving techniques for classifying triangles and calculating unknown angles.

What is the term used for a triangle that has all sides of different lengths?

• Equilateral

• Acute

• Scalene

• Isosceles

Which type of triangle has one angle greater than 90 degrees?

• Right

• Acute

• Equiangular

• Obtuse

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

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

If a triangle has two angles of 45 degrees each, what is the type of the third angle in a right triangle?

• 45 degrees

• 90 degrees

• 135 degrees

• 180 degrees

In a right isosceles triangle, if one angle is 90 degrees, what are the other two angles?

• 30 degrees each

• 60 degrees each

• 90 degrees each

• 45 degrees each

What type of triangle is formed if all angles are 60 degrees?

• Obtuse

• Equiangular

• Right

• Acute

How do you calculate the missing angle 'x' if you know the other two angles in a triangle?

• x = 180 - sum of two known angles

• x = sum of two known angles / 180

• x = sum of two known angles - 180

• x = 180 / sum of two known angles

What is the value of 'x' if the interior angles of a triangle are 4x + 7, 39, and 90 degrees?

• 13

• 11

• 12

• 14

If an exterior angle of a triangle is 140 degrees, and one of the non-adjacent interior angles is 90 degrees, what is the measure of the other non-adjacent interior angle?

• 50 degrees

• 70 degrees

• 40 degrees

• 60 degrees

What is the measure of angle 'h' if x = 18 and the angle is calculated as 8x - 6?

• 138 degrees

• 144 degrees

• 150 degrees

• 156 degrees