Angles and Polygons Concepts

The video tutorial covers solving geometry problems involving parallel lines, transversals, and angle calculations. It explains how to find the value of x using properties of parallel lines and transversals, calculate the largest angle in a pentagon using the sum of interior angles, determine angle measures using complementary and supplementary angles, and find angle measures using vertical angles. Additionally, it discusses calculating exterior angles of a regular hexagon.

In a figure with parallel lines and a transversal, if one angle is x + 40 and its corresponding angle is x - 40, what is the value of x?

• 110

• 100

• 90

• 80

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

• 360 degrees

• 540 degrees

• 720 degrees

• 900 degrees

Given the interior angles of a pentagon as 2x, 6x, 4x-6, 2x-16, and 6x+2, what is the measure of the largest angle?

• 170 degrees

• 160 degrees

• 150 degrees

• 180 degrees

In a right triangle, if one angle is 36 degrees, what is the measure of its complementary angle?

• 54 degrees

• 64 degrees

• 84 degrees

• 74 degrees

If an angle is the supplement of 88 degrees, what is its measure?

• 92 degrees

• 82 degrees

• 102 degrees

• 112 degrees

What is the measure of angle WZX if it is the vertical angle to an 80-degree angle?

• 60 degrees

• 70 degrees

• 90 degrees

• 80 degrees

What is the measure of an exterior angle of a regular hexagon?

• 60 degrees

• 75 degrees

• 45 degrees

• 30 degrees

How many triangles can be formed inside a hexagon?

• 4

• 3

• 2

• 5

If each interior angle of a regular hexagon is 120 degrees, what is the sum of all its interior angles?

• 480 degrees

• 720 degrees

• 840 degrees

• 600 degrees

In a regular hexagon, if one interior angle is 120 degrees, what is the measure of its exterior angle?

• 80 degrees

• 70 degrees

• 50 degrees

• 60 degrees