Sure! Here are five questions involving congruent angles and supplementary angles, along with the angle measurements that can be derived from them.
Question 1:
If angle A is congruent to angle B, and angle A measures 45 degrees, what is the measure of angle B?
Answer:
Angle B measures 45 degrees.
Question 2:
Two angles are supplementary, and one angle measures 70 degrees. What is the measure of the other angle?
Answer:
The other angle measures 110 degrees (180 - 70 = 110).
Question 3:
If angle C is 3 times the measure of angle D, and angles C and D are complementary (which means they add up to 90 degrees), what are the measures of angles C and D?
Answer:
Let angle D = x. Then angle C = 3x.
So,
x + 3x = 90
4x = 90
x = 22.5 degrees.
Thus, angle D = 22.5 degrees and angle C = 67.5 degrees.
Question 4:
Angle E is supplementary to angle F, and angle E measures 120 degrees. What is the measure of angle F?
Answer:
Angle F measures 60 degrees (180 - 120 = 60).
Question 5:
If angle G and angle H are congruent angles and their sum is 88 degrees, what is the measure of each angle?
Answer:
Let each angle be x. Therefore,
x + x = 88
2x = 88
x = 44 degrees.
So, angle G and angle H each measure 44 degrees.
Feel free to ask for more questions or explanations!