Two complementary angles are the ratio if 4:2 find the measure of each angle

1 answer:

6 0

Let the ratio be termed as 4x and 2x.
Now,
4x + 2x= 90
or,6x=90
or,x=90/6
or,x=15
So the measure of angles are,4x= 4×15
= .........
and,2x=2×15 =.....

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Ronch [10]

The relationship of the given angles are:

1. A. Adjacent

2. B. vertical

3. B. vertical

4. E. linear pair

5. C. complementary

6. D. supplementary

7. C. complementary

8. A. adjacent

9. A. adjacent

10. D. supplementary

11. A. adjacent

12. C. complementary.

<h3>How to Determine the Relationship Between Angles?</h3>

Different pairs of angles are related to each other in several ways. The explanation below shows the relationship between the given angles.

1. Angles 2 and 3 share a common vertex and a common side, therefore:

<2 and <3 are: A> Adjacent

2. <3 and <4 are non-adjacent angles that share a common vertex and are opposite each other. Thus:

<3 and <4 are: B. vertical

3. <1 and <3 are: B. vertical

4. <1 and <2 lie on a straight line and are adjacent to each other. Therefore, they are a: linear pair

5. 78 + 12 = 90 degrees. Therefore, their relationship is that they are: C. complementary

6. 123 + 57 = 180. Therefore, they are: D. supplementary

7. Angles a and b form a right angle. Therefore, they are: C. complementary

8. <1 and <2 are: adjacent

9. <3 and <4 are: A. adjacent

10. 90 + 90 = 180, therefore, the angles are: D. supplementary