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Alona [7]
3 years ago
5

Quadrilateral ABCD ​ is inscribed in a circle.

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0
One of the circle theorems is that opposite angles in a cyclic quadrilateral sum to 180°.
So, m<A + m<C = 180°. Let's substitute:
3x+6+x+2=180
4x+8=180
4x=172
x=43°
m<A = 3x + 6
m<A = 3(43)+6
m<A = 129+6
m<A = 135°
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