Answer:
Sum of supplementary angles is 180°
6x+9x=180
15x=180
x= 12
9x=108°
Step-by-step explanation:
The supplementary angles having ratio 6:9 are 72° and 108°.
Supplementary angles are those angles which is having sum of 180 degrees. Opposite of supplementary angles are complementary angles.
We have been given that the ratio of two supplementary angles is 6:9. So, the angles are 6x and 9x. According to question and definition of supplementary angles we can write the angles in the following form:
6x+9x=180°
Now find the sum of left side and put it equal to 180.
15x=180
x=180/15
x=12
Putting in the values of angles we will find the following:
Angle 1=6x=6*12=72°
Angle 2=9x=9*12=108°.
Hence the supplementary angles having ratio 6:9 are 12° and 108°.
Learn more about supplementary angles at https://brainly.com/question/404323
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