Two supplementary angles are in the ratio 7: 8. Find the measure of the angles.
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Answer:
the answer is 84degrees and 96 degrees
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• Ratio of two supplementary Angles is = 7:8
• What are the measures of both the angles?
Formula to be used :-
• Sum of two supplementary angles is 180°.
Given that,
Ratio of two supplementary Angles is = 7:8
Let the two supplementary Angles be 7x and 8x.
According to the question :-
We are asked to find the measures of both the angles.
As we know that,
Sum of two supplementary angles is 180°.
Therefore,
⟼ 7x + 8x = 180
⟼15x = 180
⟼ x = 180/15
⟼ x = 12
Hence,
1st supplementary Angle = 7x = 7 × 12 = 84°
2nd supplementary Angle = 8x = 8 × 12 = 96°
__________________________________________
Verification :-
Sum of two supplementary angles is 180°.
⟼ 84° + 96° = 180°
⟼ 180° = 180°
L.H.S = R.H.S
(verified)
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