What is the measure of an angle formed by the angle bisector of a given angle and one of its sides: 171°30'

An angle bisector is one that cuts an angle into two equal halves.

bearing in mind that a degree has 60 minutes and a minute has 60 seconds, so then 171°30' is just 171 degrees and 30 minutes.

let's halve each, 171 ÷ 2 = 85.5°, so 85.5° is really 85° and half of another degree, let's recall that a degree has 60 minutes, so half of a degree is just half of 60 minutes, namely 30 minutes, so 85.5° is really 85°30'.

let's halve the 30 minutes now, half of 30 is 15, so 15 minutes is its half.

now let's add both halves together, 85°30' plus 15', 85°45'.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

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step-by-step explanation: