Two complementary angles differ by 10. Find the measure of each angle?
2006-10-14 00:29:24 · 9 answers · asked by nikky 1 in Science & Mathematics ➔ Mathematics
I dont think it should be 40 and 50 because the ques. is saying 2 complementary angles so ther sum must be 180
2006-10-14 00:53:40 · update #1
The sum of 2 complementary angles wud be 180 because if ist angle=90 then second=90
2006-10-14 02:36:33 · update #2
Let the two angles be, A & B.
As the angles are complementary, A+B =90
It is given that , A - B = 10
Consequently, A= 50 & B = 40
2006-10-14 20:59:02 · answer #1 · answered by shasti 3 · 0⤊ 0⤋
First, you have to create your representation.... So, let x be the first angle and let 90-x be the second angle... probably, the question means that the two unknown angles are complementary because if it says 2 complementary angles, then, there are 4 angles involved wherein the pairs of angles sum up tu 90 deg.... So, back to the question... The equation should be like this....
x-(90-x)=10
x-90+x=10
2x-90=10
2x=100
x=50... The 1st angle is 50... and the second is 40
2006-10-14 08:18:37 · answer #2 · answered by Steph_kinse 2 · 0⤊ 0⤋
40 and 50 are right.Because sum of complementary angles is 90 sum of supplimentary angles is 180
2006-10-14 07:59:00 · answer #3 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
Firstly find out the definition of a complimentary angle
"When two angles are combined to total 90°, they are referred to as complimentary angles. "
you can solve this mentally as 50 and 40
Or solve the simultaneous equations
X + Y = 90
X - Y = 10
Adding th Above we get
2X = 100 and hence X = 50
and on substituting 50 to replace X in any one of the above equations
we get Y = 40
2006-10-14 08:33:49 · answer #4 · answered by Willy Brown 2 · 0⤊ 0⤋
auppose one is x then other is x+ 10
x+x+10=90
2x=90-10
x=80/2
x=40
other angle =x+10
=50
so the angles are 40 and 50 degree
2006-10-14 07:46:37 · answer #5 · answered by hmmm 3 · 0⤊ 0⤋
40 and 50
2006-10-14 07:39:03 · answer #6 · answered by victorschool1 5 · 0⤊ 0⤋
Let us get the definitions right.
2complementary angles sum=90Deg
2supplementary angles sum =180
So it has to be 40&50Deg
This is got by solving equations.
x+y=90
x-y=10
2x=100
x=50
y=40
2006-10-14 09:45:18 · answer #7 · answered by openpsychy 6 · 0⤊ 0⤋
85+95+180
85, 95
Never mind that's supplementary
2006-10-14 07:39:05 · answer #8 · answered by nc15male 2 · 0⤊ 0⤋
Let those angles be = x1, x2
Since they have difference 10, so
=> (x1 - x2)=10 ... (i)
Also, since they are complementary to each-other,so
=> (x1 + x2)=90 ... (ii)
Solving, eqns. (i) & (ii) get,
x1=50degrees, x2=40degrees. [Ans.]
2006-10-14 07:46:34 · answer #9 · answered by Innocence Redefined 5 · 1⤊ 0⤋