The measures of two angles of a triangle are 36° and 71°. Find the measure of the third angle, and classify the triangle according to its angles.
A. 199°, acute
B. 199°, right
C. 73°, acute
D. 73°, right
To find the measure of the third angle in the triangle, we use the fact that the sum of angles in a triangle is 180°. Therefore:
Third angle = 180° - 36° - 71° = 73°
Since all three angles are less than 90°, the triangle is acute. The answer is (C) 73°, acute.
What is the correct way to classify the triangle shown below?
A triangle has no congruent sides and one angle measuring 115 degrees.
A. acute, isosceles
B. obtuse, isosceles
C. acute, scalene
D. obtuse, scalene
Since the triangle has no congruent sides, it is a scalene triangle. The angle measure of 115 degrees is between 90 and 180, so it is an obtuse angle. Therefore, the correct way to classify the triangle is (D) obtuse, scalene.
Note: For questions 9 and 10, remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.
Find the complement of the angle shown.
Find the supplement of the angle shown.
Show all your work.
The figure shows an angle with a measure of 52 degrees.
To find the complement of the angle, we use the formula:
complement = 90° - angle measure
complement = 90° - 52° = 38°
Therefore, the complement of the angle is 38 degrees.
To find the supplement of the angle, we use the formula:
supplement = 180° - angle measure
supplement = 180° - 52° = 128°
Therefore, the supplement of the angle is 128 degrees.
make it sound like a 6th grader
Ok, let me try:
So, there is this angle that has a measure of 52 degrees. And we need to find the complement of this angle. The complement is like the missing piece of the angle that makes it a right angle, which means it's equal to 90 degrees. So, we subtract the angle measure by 90 degrees. This gives us the complement as 38 degrees.
Now, the second thing we need to do is find the supplement of this angle. The supplement is like the other missing piece that makes the angle a straight line, which means it's equal to 180 degrees. So, we subtract the angle measure by 180 degrees. This gives us the supplement as 128 degrees.
And that is how we find the complement and supplement of an angle!