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Find the supplementary angle of an angle that measures [tex]$110^{\circ}$[/tex].

A. [tex]$70^{\circ}$[/tex]
B. [tex][tex]$73^{\circ}$[/tex][/tex]
C. [tex]$67^{\circ}$[/tex]
D. [tex]$85^{\circ}$[/tex]

Sagot :

GinnyAnsweridn
To find the supplementary angle of a given angle, recall that the sum of supplementary angles is always [tex]\(180^\circ\)[/tex].

Here, the given angle is [tex]\(110^\circ\)[/tex].

Step-by-step, we will determine the supplementary angle:

1. Start with the total measure of supplementary angles, which is [tex]\(180^\circ\)[/tex].

2. Subtract the given angle from [tex]\(180^\circ\)[/tex]:
[tex]\[ 180^\circ - 110^\circ = 70^\circ \][/tex]

So, the supplementary angle of [tex]\(110^\circ\)[/tex] is [tex]\(70^\circ\)[/tex].

Now, let's match this result with the options provided:
- [tex]\(70^\circ\)[/tex]
- [tex]\(73^\circ\)[/tex]
- [tex]\(67^\circ\)[/tex]
- [tex]\(85^\circ\)[/tex]

The correct option is [tex]\(70^\circ\)[/tex].
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