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's the solution for question 3: i) To find the value of x: Step 1: Identify the relationship between angles c and f. Angles c and f are alternate interior angles. Since the lines are parallel, alternate interior angles are equal. c = f Step 2: Substitute the given values into the equation. Given f = 60^ and c = 8x - 4. 8x - 4 = 60 Step 3: Solve the equation for x. Add 4 to both sides: 8x = 60 + 4 8x = 64 Divide by 8: x = (64)/(8) x = 8 The value of x is 8. ii) To find the values of a, b, c, d, f, g, and h if e = 110^: Step 1: Use the relationship between angles e and f. Angles e and f are angles on a straight line, so their sum is 180^. e + f = 180^ 110^ + f = 180^ f = 180^ - 110^ f = 70^ Step 2: Use vertically opposite angles and corresponding angles to find the remaining values. • e and h are vertically opposite angles: h = e = 110^ • f and g are vertically opposite angles: g = f = 70^ • a and e are corresponding angles: a = e = 110^ • b and f are corresponding angles: b = f = 70^ • c and g are corresponding angles: c = g = 70^ • d and h are corresponding angles: d = h = 110^ The values are: a = 110^ b = 70^ c = 70^ d = 110^ f = 70^ g = 70^ h = 110^ Send me the next one 📸