Quadrilateral ABCD is inscribed in this circle.

What is the measure of angle A?

∠ A = 65°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°

∠ D + ∠ B = 180°, that is

x + 148 = 180 ( subtract 148 from both sides )

x = 32

Thus

∠ A = 2x + 1 = 2(32) + 1 = 64 + 1 = 65°

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

answer: 270

step-by-step explanation:

you have to times 200 by 1.35 to get your answer