Angles and Linear Equations

The video tutorial covers two geometry problems. In problem 226, the instructor explains how to find the sum of angles x and y given angle z in a triangle with parallel lines and transversals. The solution involves understanding corresponding and supplementary angles. In problem 227, the instructor introduces a coordinate system and discusses how to determine the equation of a line by identifying the y-intercept and calculating the slope.

In the geometric figure described, what is the measure of angle z?

• 50 degrees

• 30 degrees

• 90 degrees

• 70 degrees

If angle z is 50 degrees, what is the measure of angle y?

• 40 degrees

• 50 degrees

• 60 degrees

• 70 degrees

Which of the following is a property of corresponding angles?

• They are always complementary

• They are always supplementary

• They are always equal

• They are always adjacent

What is the sum of angles x and y in the figure?

• 190 degrees

• 360 degrees

• 180 degrees

• 270 degrees

What is the measure of angle x if angle y is 50 degrees?

• 140 degrees

• 150 degrees

• 130 degrees

• 160 degrees

What is the relationship between angles x and the angle adjacent to it in the triangle?

• Complementary

• Supplementary

• Equal

• None of the above

In the coordinate system, what is the y-intercept of line l?

• 4

• 3

• 2

• 1

What is the x-coordinate of the point where line l intersects the x-axis?

• 3

• 0

• 1

• 2

What is the slope of line l if it passes through points (0, 2) and (3, 0)?

• -2/3

• -3/2

• -1/3

• -1

What is the equation of line l if it has a y-intercept of 2 and a slope of -2/3?

• y = 2/3x + 2

• y = 3/2x + 2

• y = -3/2x + 2

• y = -2/3x + 2