Triangle Angle Properties and Relationships

Mr. D explains angle-side relationships in a triangle, focusing on triangle ABC with given angles. He demonstrates how to find the missing angle using the angle sum property and applies a theorem to determine the order of side lengths based on angle size. The video concludes with a discussion on inequalities and the importance of understanding side order.

What is the main topic discussed in the video?

• Properties of quadrilaterals

• Angle-side relationships in triangles

• Pythagorean theorem

• Circle theorems

What are the given measures of angles A and B in triangle ABC?

• 58° and 73°

• 60° and 60°

• 45° and 90°

• 30° and 60°

Why is it important to draw a diagram of triangle ABC?

• To ensure the triangle is drawn to scale

• To visualize the problem and help solve it

• To measure the angles accurately

• To compare it with other triangles

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

• 90°

• 360°

• 180°

• 270°

How do you calculate the missing angle in triangle ABC?

• Multiply the given angles

• Subtract the sum of given angles from 180°

• Add all angles and subtract from 360°

• Divide the sum of given angles by 2

What is the measure of the missing angle C in triangle ABC?

• 73°

• 58°

• 49°

• 90°

What does the theorem about angle-side relationships state?

• The largest angle is opposite the smallest side

• The smallest angle is opposite the smallest side

• All sides are equal in a triangle

• The sum of angles is always 90°

Which angle in triangle ABC is the smallest?

• All angles are equal

• Angle C

• Angle A

• Angle B

Which side is opposite the smallest angle in triangle ABC?

• Side AB

• Side BC

• Side AC

• Side CB

What is the order of the sides from smallest to largest in triangle ABC?

• AB < AC < BC

• AC < AB < BC

• AB < BC < AC

• BC < AB < AC