a corner of a rectangle is cut, creating a trapezoid. what is the value of x? 105° 115° 125° 135°
a corner of a rectangle is cut, creating a trapezoid. what is the value of x? 105° 115° 125° 135°
Answer
Explanation:
Step1: Recall angle - sum property of a trapezoid
The sum of the interior angles of a trapezoid is 360°. In the trapezoid formed, two of the angles are right - angles (90° each) and one angle is 45°. Let the fourth angle be (x).
Step2: Set up the angle - sum equation
We know that (90^{\circ}+90^{\circ}+45^{\circ}+x = 360^{\circ}).
Step3: Simplify the left - hand side of the equation
(225^{\circ}+x=360^{\circ}).
Step4: Solve for (x)
Subtract 225° from both sides: (x = 360^{\circ}-225^{\circ}=135^{\circ}).
Answer:
135°