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thu651777p0vibf
07.10.2019 •
Mathematics
Quadrilateral abcd is inscribed in this circle.
what is the measure of angle c?
enter your answer in the box. °
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Ответ:
Explanation:
Quadrilateral ABCD is known as a cyclic quadrilateral. This means that it has all its vertices on the circle's circumference.
In a cyclic quadrilateral, the sum of each two opposite angles is 180 (check the attached image).
Therefore:
measure angle B + measure angle D = 180
x + 10 + x + 24 = 180
2x + 34 = 180
2x = 180 - 34
2x = 146
x = 73
We are given that:
measure angle A = x + 15
Therefore:
measure angle A = 73 + 15 = 88 degrees
Finally, we have:
measure angle A + measure angle C = 180
88 + measure angle C = 180
measure angle C = 180 - 88
measure angle C = 92 degrees
Hope this helps :)
Ответ:
Below
Step-by-step explanation:
● (p+q) ×2 -(5-5)
● 2(p+q) - 0
● 2(p+q)
Replace p and q with 1
● 2 (1+1)
● 2 × 2
● 4