Geometry

Question Analysis

This question involves the concept of complementary angles.

Key Concept Explanation

Complementary angles are pairs of angles whose measures sum up to 90 degrees. This fundamental geometric concept helps in finding an unknown angle when one of the complementary angles is known.

Step - by - Step Solution

1. Recall the property of complementary angles:

The sum of an angle and its complement is 90 degrees. Let the given angle be , and the complement be . So, the equation is .

2. Solve for :

Subtract  from both sides of the equation. We get .

Option Analysis

A.54 degrees: If we add 54 degrees to 46 degrees, we get