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True [87]
3 years ago
6

Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
2 answers:
yuradex [85]3 years ago
5 0

Answer:

∠B=157°

Step-by-step explanation:

It is given that Quadrilateral ABCD ​is inscribed in the circle.

Also, we know that if the Quadrilateral ABCD ​ is inscribed in the circle, then the opposite angles of the quadrilateral are supplementary by the property of circles. Then,

∠B+∠D=180°

⇒x+6x+19=180

⇒7x+19=180

⇒7x=161

⇒x=23^{{\circ}}

Thus, the value of ∠B=6x+19=6(23)+19=138+19=157°.

Lana71 [14]3 years ago
3 0
(6x+19)° + x° = 180°
7x° = 180°-19°
7x° = 161°
x = 23°

m∠B = 6(23) + 19
= 157°
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Step-by-step explanation:

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