This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Find the measure of . Angle and the angle form a linear pair on a straight line. Angles on a straight line sum to .
Step 2: Find the measure of . Angle and the angle form a linear pair on a straight line. Angles on a straight line sum to .
Step 3: Find the measure of . Angle and the angle form a linear pair on a straight line. Angles on a straight line sum to .
The measures are: x = \text{112^\circ} y = \text{153^\circ} z = \text{95^\circ}
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Find the measure of x. Angle x and the 68^ angle form a linear pair on a straight line.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.