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>
