Ineed asap i will give brainliest if correct

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) Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?

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

m∠A=2x+9> 2*34+9=77°

the answer is m∠A=77°