find the values of x and y.\n$x=\\square$\n$y=\\square$

Explanation:

Step1: Find adjacent angle to 112°

The adjacent angle on the straight line is $180^\circ - 112^\circ = 68^\circ$.

Step2: Identify triangle type

The triangle is isosceles (two equal sides), so the base angles are equal. The adjacent angle from Step1 is a base angle, so $y = 68^\circ$.

Step3: Calculate x using angle sum

Triangle angles sum to $180^\circ$. $x = 180^\circ - 2\times68^\circ = 180^\circ - 136^\circ = 44^\circ$

Answer:

$x=44$ $y=68$