Respuesta :

Since angle A and angle C are across from each other, they add to 180 degrees.
Given that angle C is 43 degrees
180 = 43 + A
subtract 43 from both sides
137 = A

Hope this helps!

Applying the inscribed quadrilateral conjecture, the measure of m∠A = 137°.

What is the Inscribed Quadrilateral Conjecture?

The inscribed quadrilateral conjecture states that the opposite angles in any inscribed quadrilateral in a circle measures up to 180 degrees.

Thus:

43° + m∠A = 180°

m∠A = 180 - 43

m∠A = 137°

Thus, applying the inscribed quadrilateral conjecture, the measure of m∠A = 137°.

Learn more about inscribed quadrilateral conjecture on:

https://brainly.com/question/3162727