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°
6°
12°
The measure of an angle is 78° less than the measure of its complement. What is the measure of the angle?
51°
84°
6°
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°
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°