Understanding Vertical Angles and Solving Equations

What is the first step in solving an equation with variables on both sides?

• Add the variables together

• Divide both sides by the variable

• Set the expressions equal to each other

• Multiply both sides by zero

In the equation 9x - 18 = 6x + 3, what is the value of x?

• 8

• 5

• 6

• 7

What is the measure of angle CBE if x = 7?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

What is the sum of angles ABC and CBE?

• 225 degrees

• 180 degrees

• 135 degrees

• 90 degrees

If angle ABD is 45 degrees, what is the measure of angle DBE?

• 45 degrees

• 90 degrees

• 135 degrees

• 180 degrees

What is the value of a in the equation -4a + 177 = -10a + 237?

• 8

• 9

• 10

• 11

If a = 10, what is the measure of the angle represented by -4a + 177?

• 157 degrees

• 147 degrees

• 137 degrees

• 127 degrees

What is the measure of the angle that is supplementary to an angle measuring 137 degrees?

• 33 degrees

• 43 degrees

• 63 degrees

• 53 degrees

What is the total sum of angles around a point?

• 270 degrees

• 450 degrees

• 180 degrees

• 360 degrees

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