Question

Two vertical angles have the following measurements: (4a + 12) and (3a + 32) degrees. What is the value of a

a) 8
b) 10
c) 12
d) 14

Answer 1

To find the value of a in two vertical angles with measurements (4a + 12) and (3a + 32) degrees, we can equate the measurements and solve for a. The value of a is 20.

Step-by-step explanation:

Two vertical angles have the measurements (4a + 12) and (3a + 32) degrees. To find the value of a, we need to equate the measurements of the two angles.

(4a + 12) = (3a + 32)

To solve for a, we can start by simplifying the equation:

1. 4a + 12 = 3a + 32
2. Subtract 3a from both sides: a + 12 = 32
3. Subtract 12 from both sides: a = 20

Therefore, the value of a is 20.