Solve equations with vertical angles, quick check math, seventh grade
To solve equations involving vertical angles, we need to remember that vertical angles are congruent. This means that they have equal measures. So, we can set the measures of the vertical angles equal to each other and solve for the unknown variable.
Here's an example:
Example 1:
If angle A and angle B are vertical angles, and angle A measures 40 degrees, what is the measure of angle B?
Solution:
Since angle A and angle B are vertical angles, we can set up the equation:
Angle A = Angle B
40 degrees = Angle B
Therefore, the measure of angle B is also 40 degrees.
Here's an example using equations with vertical angles:
Example 2:
If angle PQR and angle SQT are vertical angles, and the measure of angle PQR is 60 degrees, what is the measure of angle SQT?
Solution:
Since angle PQR and angle SQT are vertical angles, we can set up the equation:
Angle PQR = Angle SQT
60 degrees = Angle SQT
Therefore, the measure of angle SQT is also 60 degrees.
Remember, when solving equations involving vertical angles, we equate the angles' measures because vertical angles are congruent.