Angle Relationships Solve for the variable using corresponding angles ex 1

The video tutorial explains how to solve for a variable using parallel lines and a transversal. It covers the identification of angle relationships such as corresponding, alternate interior, and alternate exterior angles. The tutorial focuses on corresponding angles, explaining that they are equal when lines are parallel. It demonstrates solving an equation by setting corresponding angles equal and using inverse operations to find the variable value.

What are the types of angle relationships that can be identified when parallel lines are intersected by a transversal?

• Linear pair, vertical, adjacent, complementary

• Acute, obtuse, right, straight

• Vertical, adjacent, complementary, supplementary

• Corresponding, alternate interior, alternate exterior, same side interior

When two lines are parallel, how do corresponding angles relate to each other?

• They are equal

• They are supplementary

• They are vertical

• They are complementary

If one corresponding angle is expressed as 'x + 7' and the other as '21 - 3x', what equation can be set up to solve for x?

• x + 7 = 3x - 21

• x + 7 + 3x = 21

• x + 7 = 21 - 3x

• x - 7 = 21 + 3x

What is the first step in solving the equation '12x - 7 = 21'?

• Multiply both sides by 12

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 12

After simplifying the equation, what is the value of x?

• 12/28

• 28/12

• 3/7

• 7/3