two supplementary angles are in the ratio of 3:2 smaller and greater angle
Answers
Answered by
8
Supplementary angles add up to 180
Given ratio = 3: 2
-
Find total parts:
3 + 2 = 5
-
Find 1 part:
5 parts = 180
1 part = 180 ÷ 5 = 36
-
Find 2 parts (smaller angle):
1 part = 36
2 parts = 36 x 2 = 72°
-
Find 3 parts (greater angle):
1 part = 36
3 parts = 36 x 3 = 108°
-
Answer: The smaller angle is 72° and the greater angle is 108°
Answered by
11
Heyaa!!
HERE IS THE ANSWER
Let the supplementary angles be 3x°and 2x° respectively
As we know that two angles of supplementary angle measures 180°
So A/Q
3x +2x= 180°
5x°=180°
x°=(180/5)°
x°= 36°
Then the angles are _____
3x°= (3×36)°=108°
2x°=(2×36)°= 72°
Therefore the larger angle is 108° and smaller angle is 72°.
Hope it helps to you.
HERE IS THE ANSWER
Let the supplementary angles be 3x°and 2x° respectively
As we know that two angles of supplementary angle measures 180°
So A/Q
3x +2x= 180°
5x°=180°
x°=(180/5)°
x°= 36°
Then the angles are _____
3x°= (3×36)°=108°
2x°=(2×36)°= 72°
Therefore the larger angle is 108° and smaller angle is 72°.
Hope it helps to you.
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