Geometry: Collinearity, Betweenness, and Assumptions (Level 4 of 4)

This video tutorial covers four examples involving angle measurements. It begins with solving for angle ABC using algebraic expressions and geometric relations. The second example involves finding angle ABD using a ratio in a right angle. The third example uses a 1:3:2 ratio to find angles in a straight angle. The final example involves solving a system of equations to determine angle measures. The video concludes with a preview of the next series on writing simple proofs.

What is the measure of a straight angle?

• 90 degrees

• 45 degrees

• 360 degrees

• 180 degrees

If angle ABC is a right angle, what is its measure?

• 90 degrees

• 45 degrees

• 180 degrees

• 60 degrees

In a right angle problem, if the ratio of angle ABD to angle DBC is 3:2, what is the measure of angle ABD?

• 72 degrees

• 90 degrees

• 54 degrees

• 36 degrees

If three angles are in the ratio 1:3:2 and form a straight angle, what is the measure of the smallest angle?

• 45 degrees

• 90 degrees

• 60 degrees

• 30 degrees

What is the measure of the largest angle if three angles are in the ratio 1:3:2 and form a straight angle?

• 90 degrees

• 120 degrees

• 150 degrees

• 60 degrees

In a system of linear equations involving angles, if angle 1 is 2x + 40 and angle 2 is 2y + 40, what is the measure of angle 1 when x = 20?

• 140 degrees

• 80 degrees

• 100 degrees

• 120 degrees

If angle 2 is 2y + 40 and y = 30, what is the measure of angle 2?

• 120 degrees

• 80 degrees

• 100 degrees

• 140 degrees