two supplementary angles are in the ratio 3 ratio 2 find the angles
Answers
Answered by
30
Solution :
Let the one angle be x
Then it's supplement is 180° - x
Now,
According to the question,
x : ( 180° - x ) = 3 : 2
→ x / ( 180° - x ) = 3/2
→ 2x = 3 ( 180° - x )
→ 2x = 540° - 3x
→ 2x + 3x = 540°
→ 5x = 540°
→ x = 540°/5
→ x = 108°
and 180° - x = 180° - 108° = 72°
Hence,
Required angles are 108° and 72°
Let the one angle be x
Then it's supplement is 180° - x
Now,
According to the question,
x : ( 180° - x ) = 3 : 2
→ x / ( 180° - x ) = 3/2
→ 2x = 3 ( 180° - x )
→ 2x = 540° - 3x
→ 2x + 3x = 540°
→ 5x = 540°
→ x = 540°/5
→ x = 108°
and 180° - x = 180° - 108° = 72°
Hence,
Required angles are 108° and 72°
Answered by
6
supplementary angles means that their sum is 180 degrees.
1 angle = 3/5 x 180 = 108 degrees.
and 2 angle = 2/5 x 180 = 72.
the two angles are:108 and 72.
1 angle = 3/5 x 180 = 108 degrees.
and 2 angle = 2/5 x 180 = 72.
the two angles are:108 and 72.
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