goariz003 goariz003
  • 22-03-2021
  • Mathematics
contestada

If angle DCA measures 40 degrees, what does angle ACB measure?

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akposevictor
akposevictor akposevictor
  • 27-03-2021

*see attachement for the diagram that is being referred to

Answer:

m<ACB = 50°

Step-by-step explanation:

From the diagram, <DCB is a right angle = 90°

Therefore:

m<DCA + m<ACB = 90° (complementary angles)

m<DCA = 40° (given)

Thus:

40° + m<ACB = 90° (Substitution)

m<ACB = 90° - 40° (Subtraction property of equality)

m<ACB = 50°

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