Question

Consider Carmen’s plans.

Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank.

Carmen used her knowledge of angle relationships to find the value of x in the diagram.

What is the value of x?
x = 5
x = 9
x = 13
x = 16
the answer is 9

Answer 1

Based on the vertical angles theorem, the measure of angle 1 is: 48°.

What are Vertical Angles

Vertical angles are always directly opposite each other and are formed when two straight lines crosses each other.

In the diagram given, the angle that is directly opposite angle is 48°, since it is an alternate angle to 48° formed on lines m and n (lines k and l are parallel lines).

Therefore:

m∠1 = 48° (vertical angles)

Learn more about vertical angles on:

https://brainly.com/question/1673457

Answer 2

Answer:

X = 9

Step-by-step explanation:

Yes it´s 9 as said in the question