Question

The given angles are vertical angles. Determine the value of xx when one angle measures (11x+2)∘

and the other angle measures 57∘.
Find the value of x.

Answer 1

To find the value of x for vertical angles measuring (11x+2)° and 57°, set them equal and solve, resulting in x equals 5.

Step-by-step explanation:

To solve for the value of x when given vertical angles, we use the property that vertical angles are congruent; that is, they have the same measure. Since one angle is given as (11x+2)° and the other is given as 57°, we can set them equal:

(11x+2)° = 57°

Now, we can solve for x:

Thus, the value of x is 5.