ChastenS162986 ChastenS162986
  • 26-10-2022
  • Mathematics
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FIND THE MEASURE OF EACH ANGLE <1 and <2 are suplementary, <2 and <3 are supplementary, and m<2= 32 degrees.

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DhwaniE214088 DhwaniE214088
  • 26-10-2022

Here is a sketch of these angles:

∠1 and ∠2 are supplementary, meaning they add up to 180 degrees; therefore, we have

[tex]\measuredangle1+32^o=180^o[/tex][tex]\measuredangle1=180^o-32^o[/tex][tex]\textcolor{#FF7968}{\therefore\measuredangle1=148^o}[/tex]

∠2 and ∠3 are complematry, meaning they add up to 90 degree; therefore,

[tex]\measuredangle3+32^o=90^o[/tex][tex]\measuredangle3=90^o-32^o[/tex][tex]\textcolor{#FF7968}{\therefore\measuredangle3=58^o}[/tex]

Hence, ∠1 = 148° and ∠3 = 58°

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