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Angle Terminology with Equations
Aug 03, 8:18:32 AM
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ZA and ZB are complementary angles. If m2A = (2x – 10)° and m
B = (x - 2), then find the measure of ZA.
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Angle Terminology with Equations Aug 03 81832 AM ZA and ZB are complementary angles If m2A 2x 10 and m B x 2 then find the measure of ZA EN O Answer Submit Answ class=

Respuesta :

If both are complementary then their sum will be 90°

[tex]\\ \sf\longmapsto m<A+m<B=90[/tex]

[tex]\\ \sf\longmapsto 2x-10+x-2=90[/tex]

[tex]\\ \sf\longmapsto 2x+x-10-2=90[/tex]

[tex]\\ \sf\longmapsto 3x-12=90[/tex]

[tex]\\ \sf\longmapsto 3x=90+12[/tex]

[tex]\\ \sf\longmapsto 3x=102[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{102}{3}[/tex]

[tex]\\ \sf\longmapsto x=34[/tex]

Now

[tex]\\ \sf\longmapsto <A=2x-10=2(34)-10=68-10=58[/tex]

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