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: Identify the type of triangle and the given angles. The diagram for question 1a) shows an isosceles triangle with two base angles measuring 75^ each. The unknown angle is labeled d. Step 2: Apply the angle sum property of a triangle. The sum of the interior angles in any triangle is 180^. So, we can write the equation: 75^ + 75^ + d = 180^ Step 3: Simplify and solve for d. First, sum the known angles: 150^ + d = 180^ Next, subtract 150^ from both sides to find d: d = 180^ - 150^ d = 30^ The value of d is 30^. That's 2 down. 3 left today — send the next one.