Question

For two vertical angles with measures m 22 = (5a + 23) ° and m/4 = (3z + 35) ° , whatis the measure of each angle? (1 point)

Answer 1

To find the measure of each angle, we need to set up an equation by setting the two angles equal to each other since they are vertical angles.

m 22 = m/4

(5a + 23) ° = (3z + 35) °

Now we can solve for the value of a and z.

5a + 23 = 3z + 35

5a - 3z = 35 - 23

5a - 3z = 12

To further simplify the equation, we divide both sides by 1 to isolate the variables on one side.

5a - 3z = 12

Divide both sides by 1

5a/1 - 3z/1 = 12/1

5a - 3z = 12

Now, we have an equation that relates a and z. We can solve this equation by substituting a value for a or z, or by using another equation relating a and z. However, we need more information or equations to solve for the variables a and z.