Question

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

Answer 1

Angle ACB measures 140 degrees

Step-by-step explanation:

Given that angle DCA measures 40 degrees, we can use the fact that angles in a triangle add up to 180 degrees to find the measure of angle ACB. In triangle ACB, angle DCA is one of the angles, so we subtract 40 degrees from 180 degrees to find the remaining angle.

180 degrees - 40 degrees = 140 degrees

Therefore, angle ACB measures 140 degrees.

Answer 2

*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°