Exploring Angles in Triangles

The video tutorial covers solving equations, focusing on interior and exterior angles of triangles. It introduces the triangle sum theorem and the exterior angle theorem, providing examples and practice problems. The teacher, working from home, guides students through the concepts and encourages them to practice independently.

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

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If two angles of a triangle are 50 degrees and 60 degrees, what is the measure of the third angle?

• 70 degrees

• 80 degrees

• 90 degrees

• 100 degrees

Given the angles 3x + 28, 5x + 52, and 2x - 10 in a triangle, what is the value of x?

• 13

• 10

• 11

• 12

If the angles of a triangle are 3x + 28, 5x + 52, and 2x - 10, what is the measure of the angle 3x + 28 when x = 11?

• 61 degrees

• 62 degrees

• 63 degrees

• 64 degrees

What is the first step in solving for the missing angles in a triangle using the Triangle Sum Theorem?

• Divide the angles by 2

• Multiply the angles

• Subtract the known angles from 180 degrees

• Add all the angles together

What should you do after finding the value of x in a triangle problem?

• Multiply the value of x by 2

• Use the value of x to find the actual angles

• Ignore the value of x

• Divide the value of x by 2

According to the Exterior Angle Theorem, what is the relationship between an exterior angle and the two opposite interior angles?

• The exterior angle is half the sum of the two opposite interior angles

• The exterior angle is equal to one of the interior angles

• The exterior angle is the sum of the two opposite interior angles

• The exterior angle is the difference of the two opposite interior angles

If an exterior angle of a triangle is 145 degrees and one of the opposite interior angles is 80 degrees, what is the measure of the other opposite interior angle?

• 75 degrees

• 65 degrees

• 60 degrees

• 70 degrees

Given the angles 5y + 3 and 4y + 8 in a triangle, and their sum is equal to 146 degrees, what is the value of y?

• 14

• 15

• 16

• 17

If the angles of a triangle are 5y + 3 and 4y + 8, and y = 15, what is the measure of the angle 5y + 3?

• 78 degrees

• 77 degrees

• 75 degrees

• 76 degrees