Question

HELP ME PLEASEEE ASAP

A diagonal brace strengthens the wire fence and prevents it from sagging.
The brace makes a 50 degree angle with the wire as shown. Find the value
of the variable.

Answer 1

y° = 130°

Explanation:

The angel adjacent to y° corresponds with the given measure of degree that the brace makes with the wire.

Thus, the measure of the angle adjacent to y° = 50° (Corresponding angles are congruent)

y° and the angle adjacent to y° form a linear pair on a straight line.

Therefore:

y° + 50° = 180° (linear pair)

subtract 50 from each side

y° + 50° - 50° = 180° - 50°

y° = 130°