The two corners of the inscribed rectangle are 26 degrees and 53. Find the larger of the remaining corners.
| March 12, 2021 | education
In a rectangle inscribed in a circle, the sum of the opposite angles is 180 °.
Since 26 + 53 = 79 °, these are not opposite, but adjacent corners of the quadrangle.
Find the angle opposite the 26 degree angle:
180 ° – 26 ° = 154 °.
Find the angle opposite the 53 degree angle:
180 ° – 53 ° = 126 °.
Answer: The larger angle of the quadrilateral is 154 °.
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