matthew6794 matthew6794
  • 18-10-2020
  • Mathematics
contestada

ZA and ZB are complementary angles. If mZA = (7x + 23)° and
mZB = (5x + 19)°, then find the measure of ZB.

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VanillaCoco
VanillaCoco VanillaCoco
  • 18-10-2020

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation:  7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

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