Two complementary angles are (x+4) degree and (2x-7) degree,find the value of x.
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Answered by
119
sum of complementary angles is 90 degrees
x+4+2x-7=90
3x-3=90
3x=93
x=31.
x+4+2x-7=90
3x-3=90
3x=93
x=31.
bandhan123:
It is correct though I am giving you the modified version of this equation
Answered by
166
Answer :
Complementary angles : If the sum of two acute angles be 90°, the two angles be Complementary angles.
Solution :
The two complementary angles are (x + 4) and (2x - 7).
Then,
(x + 4) + (2x - 7) = 90
⇒ x + 4 + 2x - 7 = 90
⇒ x + 2x + 4 - 7 = 90
⇒ (1 + 2)x - 3 = 90
⇒ 3x - 3 = 90
⇒ x - 1 = 30,
dividing both sides by 3
⇒ x = 30 + 1
⇒ x = 31
∴ the value of x is 31.
#MarkAsBrainliest
Complementary angles : If the sum of two acute angles be 90°, the two angles be Complementary angles.
Solution :
The two complementary angles are (x + 4) and (2x - 7).
Then,
(x + 4) + (2x - 7) = 90
⇒ x + 4 + 2x - 7 = 90
⇒ x + 2x + 4 - 7 = 90
⇒ (1 + 2)x - 3 = 90
⇒ 3x - 3 = 90
⇒ x - 1 = 30,
dividing both sides by 3
⇒ x = 30 + 1
⇒ x = 31
∴ the value of x is 31.
#MarkAsBrainliest
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