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4 years ago

15

I need help ASAP I will give brainliest if correct

1 answer:

alexdok [17]4 years ago

8 0

Part 1)
we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then
m∠A°+43°=180°------------> m∠A=180°-43°=137°

the answer is m∠A=137°

Part 2) <span>Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?

we know that
</span>the property of cyclic quadrilaterals<span> for which opposite angles are supplementary
then:</span>
<span>m∠A+m∠C=<span>180<span>∘
(2x+9)+(3x+1)=180---------------> 5x+10=180
x=(180-10)/5=34

</span></span></span>m∠A=2x+9-------------> 2*34+9=77°
<span>
the answer is </span>m∠A=77°<span>

</span>

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