∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 97^\circ97

Angles x and angle y are supplementary.

Angle y measures 97 degrees,
probably wants us to find angle x.

How close am I to translate your gibberish into English?

so
x + y = 180°
x + 97 = 180
solve for x

180 - 97 = 83

To find the measure of angle x, we can use the fact that supplementary angles add up to 180 degrees.

Given that \angle y measures 97 degrees, we can solve for angle x using the equation:

\angle x + \angle y = 180 degrees

Substituting the known value of \angle y as 97 degrees:

\angle x + 97 degrees = 180 degrees

To isolate \angle x, we subtract 97 degrees from both sides of the equation:

\angle x = 180 degrees - 97 degrees

Simplifying:

\angle x = 83 degrees

To find the measure of angle x, we need to know that supplementary angles add up to 180 degrees.

Given that angle y measures 97 degrees, we can use the fact that angle x and angle y are supplementary to find the measure of angle x.

So, we subtract the measure of angle y from 180 degrees (since the sum of supplementary angles is 180 degrees):

180 degrees - 97 degrees = 83 degrees

Therefore, angle x measures 83 degrees.