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: Determine the value of y for the first diagram. The angles on a straight line add up to 180^. PQT + TQS + SQR = 180^ Substitute the given angle measures: 70^ + 80^ + (y+10^) = 180^ Combine the constant terms: 160^ + y = 180^ Subtract 160^ from both sides: y = 180^ - 160^ y = 20^ Reason: Angles on a straight line. The value of y is 20^. Step 2: Determine the value of x for diagram 2.1.1. When two straight lines intersect, the angles opposite each other are called vertically opposite angles, and they are equal. x = 50^ Reason: Vertically opposite angles are equal. The value of x is 50^. 3 done, 2 left today. You're making progress.