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Quadrilateral ABCD is inscribed in circle O. What is Angle A?
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Quadrilateral ABCD is inscribed in circle O. What is Angle A?
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Jun 26, 2019
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Quadrilateral ABCD is inscribed in circle O. What is Angle A?
Mathematics
high-school
Denys Kurochkin
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Denys Kurochkin
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Answer:
angle A is 42 I just took the test
Explanation:
im doing the k12 thing too
Chris Flesher
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Jun 26, 2019
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Chris Flesher
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To solve the question we proceed as follows:
In an inscribed quadrilateral, the opposite angles are supplement for each other. In our case A and C are supplements. B and D are supplements. Hence to solve for A we need to obtain the value of x.
since B and D are supplements, then:
B+D=180
plugging the values:
2x+(3x-5)=180
2x+3x-5=180
5x=180+5
5x=185
x=37
hence:
A=x+5
A=37+5
A=42°
Hoshani
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Jun 29, 2019
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Hoshani
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