dzeller505 dzeller505
  • 14-08-2020
  • Mathematics
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Find the measure of b+d. A. 74 B. 90 C. 32 D. 58

Find the measure of bd A 74 B 90 C 32 D 58 class=

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Hrishii
Hrishii Hrishii
  • 14-08-2020

Answer:

B. 90°

Step-by-step explanation:

Quadrilateral inscribed in the circle with center O is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

(b + d) + (32° + 58°) = 180°

b + d + 90° = 180°

b + d = 180° - 90°

b + d = 90°

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