Question

URGENT!! 100 POINTS, BRAINLIEST AS WELL

Answer 1

Answer:

C

Step-by-step explanation:

Notice that there is a little triangle formed by the lines on the right side of the diagram.

Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.

Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.

Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:

2x - 23 = 84 + 43

Now we just solve for x:

2x - 23 = 84 + 43 = 127

2x = 127 + 23 = 150

x = 150/2 = 75 degrees

The answer is 75 degrees, or C.

Answer 2

Answer:

C. x = 75

Step-by-step explanation:

The Supplementary angle of 2x-23 corresponds to 53, hence they're equal

Therefore,

2x - 23 + 53 = 180

2x + 30 = 180

2x = 150

x = 75°