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Move point C so that ∠BAC and ∠CAD form a pair of supplementary angles, or angles whose sum is 180°. Record each of the angle measurements for this case.

Sagot :

The recorded angle measurements of ∠BAC and ∠CAD could be 110° and 70°, vice versa.

What are supplementary angles?

Supplementary angles are a pair of angles that always sum up to 180°. These angles can either;

  • adjacent  
  • non-adjacent.

Adjacent supplementary angles

Adjacent supplementary are angles with a common vertex and arm.

Non-adjacent supplementary angles

Non- adjacent supplementary angles are angles without a common vertex or arm.

∠BAC and ∠CAD are adjacent supplementary angles because they have a common vertex, A, and a common arm AC.

They add up to 180°.

∠ BAC = 110° and ∠CAD = 70°

Hence, the angles could be 110° and 70°.

Note, this is an overview as the question is not complete.

Learn more about supplementary angles here:

https://brainly.com/question/2046046

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Answer: When the two angles are supplementary, m∠BAC = m∠CAD = 90° and m∠DAB = 180°.

Step-by-step explanation: Edmentum Answer