Question

Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle A?



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°

Answer 1

The answer to this is 65.

Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.

First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.

Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65