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3 years ago

HELP! Quadrilateral ABCD is inscribed in the circle below.

Mathematics

2 answers:

hjlf3 years ago

6 0

I don’t understand what you mean by the quadrilateral ABCD is inscribed in the circle below

myrzilka [38]3 years ago

3 0

Answer:

Step-by-step explanation:

If a quadrilateral is inscribed in a circle with all four edges touching the circumference of the circle, then the opposite angles are supplementary. This means that the sum of the opposite angles is 180 degrees. Therefore,

Angle B + angle D = 180

Angle A + angle C = 180

3x + x + 20 = 180

4x = 180 - 20 = 160

x = 160/4

x = 40

Angle A = 2 × 40 + 78 = 158 degrees

Angle B = 3 × 40 = 120 degrees

Angle C = 180 - 158 = 22 degrees

Angle D = 40 + 20 = 60 degrees

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