Question

Find the measure of angle 1

8x-4 and 6x+8
A. 136 degrees
B. 28 degrees
C. 44 degrees
D. 6 degrees

Answer 1

c) 44°

Explanation:

the angles labeled '8x-4' and '6x+8' are equal because they are corresponding; we can solve for 'x' by setting them equal to each other

8x - 4 = 6x + 8

2x - 4 = 8

2x = 12

x = 6

substitute 6 for 'x' in '6x+8'

6(6) + 8 = 36 + 8 = 44°

Answer 2

The measure of angle 1 is 44 degrees. So, the correct answer is C.44degrees.

To find the measure of angle 1, you need to set the expressions for the angles equal to each other since they are vertically opposite angles.

So, you have the equation:

8x−4=6x+8.

Now, solve for x:

8x−6x=8+4,

2x=12,

x=6.

Now that you have the value of x, substitute it back into one of the expressions to find the measure of angle 1. Let's use 8x−4:

8(6)−4=48−4=44.

Therefore, the measure of angle 1 is 44 degrees.

So, the correct answer is C.44degrees.