THE DIFFERNCE IN THE TWO COMPLEMENTARY ANGLE IS 12°. FIND THE MEASURE OF THE ANGLE.
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Given
two angles are complementary , so their sums add up-to 90 degree,........
difference = 12
Answer :
let one of the angles be 'x'
another angle be 'y' .
x-y = 12
x = 12+y ...........1
so
x + y = 90
from 1
x = 12+y
12+y + y = 90
12 + 2y = 90
2y = 90 -12
2y = 78
y = 78/2 = 39 ..........2
from 1 and 2
x = 12 + y
x = 12 + 39 = 51
so the angles are 51 and 39
verification x - y = 12 ......LHS
51 - 39 = 12 ........RHS
as LHS = RHS the answer is correct
hope this helps!
two angles are complementary , so their sums add up-to 90 degree,........
difference = 12
Answer :
let one of the angles be 'x'
another angle be 'y' .
x-y = 12
x = 12+y ...........1
so
x + y = 90
from 1
x = 12+y
12+y + y = 90
12 + 2y = 90
2y = 90 -12
2y = 78
y = 78/2 = 39 ..........2
from 1 and 2
x = 12 + y
x = 12 + 39 = 51
so the angles are 51 and 39
verification x - y = 12 ......LHS
51 - 39 = 12 ........RHS
as LHS = RHS the answer is correct
hope this helps!
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