the ratio of the measures of the acute angles is 5:4, and the complement of one of these two angles twice as large as the compliments of the other. what is the sum of the degree measures of the two angles?
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HEY Buddy.....!! here is ur answer
Given that : The ratio of two acute angles is 5:4
Let, the angles are 5x and 4x
Also, given that : compliment of one angle twice as large as the compliment of the other.
Now, according to the question :
2(90–5x) = 90–4x
=> 180–10x = 90–4x
=> 6x = 90
=> x = 15
Thus, the angles are : 5x = 5×15 = 75°
and 4x = 4×15 = 60°
Sum of the angles = 75°+60° = 135°
I hope it will be helpful for you...!!
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MARK IT AS BRAINLIEST
Given that : The ratio of two acute angles is 5:4
Let, the angles are 5x and 4x
Also, given that : compliment of one angle twice as large as the compliment of the other.
Now, according to the question :
2(90–5x) = 90–4x
=> 180–10x = 90–4x
=> 6x = 90
=> x = 15
Thus, the angles are : 5x = 5×15 = 75°
and 4x = 4×15 = 60°
Sum of the angles = 75°+60° = 135°
I hope it will be helpful for you...!!
THANK YOU ✌️✌️
MARK IT AS BRAINLIEST
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