Question

I need help ASAP I will give brainliest if correct

Answer 1

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°