$\"\"$

First, find $\"\"$ using exterior angle theorem.

Since $\"\"$ , $\"\"$ and $\"\"$ forms a straight line.

So, $\"\"$

$\"\"$ (Add: $\"\"$ )

$\"\"$ (Subtract 116 from each side) $\"\"$

Next, find $\"\"$ .

The sum of the measures of the angles of a triangle is 180.

$\"\"$ (Angle sum theorem)

$\"\"$ (Substitute $\"\"$ )

$\"\"$ (Add: $\"\"$ )

$\"\"$ (Subtract 127 from each side) $\"\"$

The measure of $\"\"$ is 53.