Quadrilateral ABCD is inscribed in circle O. What is m∠B ? Enter your answer in the box. ° A quadrilateral is inscribed in a
circle O. The vertices of the quadrilateral lie on the edge of the circle and are labeled as A, B, C, and D. The interior angle A is labeled as left parenthesis 2 x minus 7 right parenthesis. The angle B is labeled as left parenthesis 2 x plus 3 right parenthesis. The angle C is labeled as left parenthesis x plus 4 right parenthesis.
1 answer:
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Answer:
<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>Step-by-step explanation:
3x - 8 > -5 <em>add 8 to both sides</em>
3x > 3 <em>divide both sides by 3</em>
x > 1
2x - 7 < 5 <em>add 7 to both sides</em>
2x < 12 <em>divide both sides by 2</em>
x < 6
From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)
