Find the largest angle of a rectangular trapezoid if one of its corners is twice the size of the other.
| March 1, 2021 | education
In a rectangular trapezoid, two angles are 90 ° and the other two add up to 180 ° (like the two corners of a trapezoid adjacent to the side).
Let one of the angles be equal to x, then the second angle will be equal to 2x (since it is twice as large).
Let’s make the equation:
x + 2x = 180.
3x = 180.
x = 180: 3.
x = 60 °.
2x = 120 °.
Answer: the larger angle of a rectangular trapezoid is 120 °
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