If the length of segment ad is 10 and the length of segment ac is 4y - 40, what are the values for y, segment ac, and segment dc
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Answer:
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Given:
A quadrilateral inscribed in a circle.
To find:
The value of x and y.
Solution:
If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.
[Supplementary angles]
The value of x is 14 degrees.
[Supplementary angles]
Therefore, the value of x is 14 degrees and the value of y is 38 degrees.