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SCORPION-xisa [38]
3 years ago
5

Quadrilateral ABCD ​ is inscribed in circle O.

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
6 0
<h2>Answer:</h2>

we know that,

2x + 3 + 4x + 3 = 180

6x + 6 = 180

6x = 180 - 6

6x = 174

x = 174/6 = 29.

So, m∠C = 2x + 1 = 2 × 29 + 1 = 58 + 1 = 59°.

Crank3 years ago
3 0

Answer:

  • 59°

Step-by-step explanation:

  • <em>∠C and ∠A are supplementary angles so as ∠B with ∠D, as opposite angles of a cyclic quadrilateral.</em>
  • <em>Supplementary angles sum to 180°</em>

<u>First find the value of x:</u>

  • 2x + 3 + 4x + 3 = 180
  • 6x + 6 = 180°
  • 6x = 174°
  • x = 29°

<u>Find the measure of ∠C:</u>

  • m∠C = 2*29° + 1° = 59°
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