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
Here are the solutions for the problems: 1.3 Step 1: The angles 2x and x+30^ form a linear pair on a straight line, so their sum is 180^. 2x + (x+30^) = 180^ Step 2: Combine like terms and solve for x. 3x + 30^ = 180^ 3x = 180^ - 30^ 3x = 150^ x = (150^)/(3) x = 50^ The value of x is 50^. 1.4 Step 1: The angles x and 55^ are vertically opposite angles. Vertically opposite angles are equal. x = 55^ The value of x is 55^. 1.5 Step 1: The angles ABD and CBE are vertically opposite angles. Since ABD = 70^, then x must be equal to 70^. x = 70^ Step 2: The angles ABD and ABE form a linear pair, so their sum is 180^. 70^ + y = 180^ Step 3: Solve for y. y = 180^ - 70^ y = 110^ The values are x = 70^ and y = 110^. 1.6 Step 1: The angles x+70^ and 100^ form a linear pair on a straight line, so their sum is 180^. (x+70^) + 100^ = 180^ Step 2: Combine like terms and solve for x. x + 170^ = 180^ x = 180^ - 170^ x = 10^ The value of x is 10^. Send me the next one 📸