# Chapter 1 - Trigonometric Functions - Section 1.1 Angles - 1.1 Exercises: 46

59$^{\circ}$59'

#### Work Step by Step

1. Add degrees to degrees and minutes to minutes: $55^{\circ}+12^{\circ} = 67^{\circ}$ $30'+44' = 74'$ $55^{\circ}30'+12^{\circ}44'= 67^{\circ}74'$ (we can redistribute 60 minutes from 74 minutes to one hour as it more than 60, but we need to leave it as it is, because we will subtract later) 2. Subtract degrees from degrees and minutes from minutes: $67^{\circ}-8^{\circ}= 59^{\circ}$ $74'-15'=59'$ $67^{\circ}74'-8^{\circ}15'=59^{\circ}59'$

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