16.

Read the following two statements. Then use the Law of Syllogism to draw a conclusion.

If the sun is shining, then it is a beautiful day.
If it is a beautiful day, then we will have a picnic.

If we have a picnic, then the sun is shining.

If it is a beautiful day, then the sun is shining.

If the sun is shining, then we will have a picnic.

If we have a picnic, then it is a beautiful day.

3 answers

Conclusion: If the sun is shining, we will have a picnic.
17.
The measure of an angle is 78° less than the measure of its complement. What is the measure of the angle?

51°

84°



12°
Let the measure of the angle be x degrees. The complement of the angle will be (90 - x) degrees.

According to the given information:
x = (90 - x) - 78
x = 90 - x - 78
x = 12

Therefore, the measure of the angle is 12°.

Therefore, the correct answer is:

12°
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