ramirezlissette067 ramirezlissette067
  • 24-12-2020
  • Mathematics
contestada

ZA and ZB are complementary angles. If m_A= (7x + 28)° and m
ZB = (8x + 2)°, then find the measure of ZA.

Respuesta :

HermanSlader
HermanSlader HermanSlader
  • 24-12-2020

Answer:

mA=56 degrees

Step-by-step explanation:

Complementary angles adds up to 90 degrees. This imply that

[tex](7x+28)+(8x+2)=90[/tex]

From this equation, we can find x:

[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]

Now, we can substitute the value for x into the angle mA:

[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]

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