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Advocard [28]
3 years ago
11

In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

  60°

Step-by-step explanation:

In a circumscribed quadrilateral, opposite angles are supplementary.

  x° = 180° -120°

  x° = 60°

_____

<em>Derivation of the relationship</em>

Arcs BAD and BCD have a sum of 360°. Arc BAD is twice the measure of angle BCD. Likewise, arc BCD is twice the measure of angle BAD. So, we have ...

  2∠BCD +2∠BAD = 360°

  ∠BCD +∠BAD = 180° . . . . . . divide by 2. This is the relation we used above.

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