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 its properties. The diagram shows a right-angled triangle, indicated by the square symbol, meaning one angle is 90^. The two short sides (legs) of the triangle are marked with single dashes, which means they are equal in length. This indicates that the triangle is an isosceles right-angled triangle. Step 2: Determine the base angles of the isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are also equal. Since the two legs are equal, the two acute angles must be equal. Let the unknown angle be d. Therefore, the other acute angle is also d. Step 3: 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: 90^ + d + d = 180^ 90^ + 2d = 180^ Step 4: Solve for d. Subtract 90^ from both sides: 2d = 180^ - 90^ 2d = 90^ Divide by 2: d = (90^)/(2) d = 45^ Your calculation is correct. The value of d is 45^. What's next?