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Quadrilateral ABCD is inscribed in circle O. What is Angle A?

Quadrilateral ABCD is inscribed in circle O. What is Angle A?-example-1

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Answer:

angle A is 42 I just took the test

Explanation:

im doing the k12 thing too

User 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°
User Hoshani
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