Question

Find the measure of x

Answer 1

Answer:

$B)\ x=43$

Step-by-step explanation:

One is given a circle with many secants within the circle. Please note that a secant refers to any line in a circle that intersects the circle at two points. A diameter is the largest secant in the circle, it passes through the circle's midpoint. One property of a diameter is, if a triangle inscribed in a circle has a side that is a diameter of a circle, then the triangle is a right triangle. One can apply this to the given triangle by stating the following:

$x+47+90=180$

Simplify,

$x+47+90=180$

$x+137=180$

Inverse operations,

$x+137=180$

$x=43$

Answer 2

The answer is 43. You have to do: 180 (maximum in the triangle) - 47 - 90 (the angle that isn’t x) = 43. That’s the measure of x!