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.
ScanSolve AI Answer
Step 1: Find the value of x. The angle x and the 88^ angle form a linear pair on a straight line. Angles on a straight line sum to 180^. x + 88^ = 180^ Subtract 88^ from both sides: x = 180^ - 88^ x = 92^ The value of x is 92^. Step 2: Find the value of y. The sum of the interior angles in a triangle is 180^. The interior angles are 30^, x, and y. 30^ + x + y = 180^ Substitute the value of x = 92^ into the equation: 30^ + 92^ + y = 180^ 122^ + y = 180^ Subtract 122^ from both sides: y = 180^ - 122^ y = 58^ The value of y is 58^.