__Category__: Plane Geometry, Trigonometry"Published in Newark, California, USA"

From the given figure, find ∠A

Photo by Math Principles in Everyday Life |

__Solution__:

Consider the given figure above

Photo by Math Principles in Everyday Life |

Since the given figure is a rectangle that consists of three squares, then we can solve for the values of ∠A, ∠B, and ∠C by using basic trigonometric functions. The given diagonals are the hypotenuses of a square and two rectangles, respectively.

The value of ∠C is

The value of ∠B is

The value of ∠A is

Therefore,