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'.

answear:

a

step-by-step explanation: a

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.