The difference in the measure of two complementry angle is 12º. Find the measure of
the angles
[a] 51° and 49° [b] 51° and 39 [c] 60° and 30° [d] 50° and 40°
If two angle are supplementry then the sum of their measure is
[a] 90°
[b] 180°
[c] 360°
[d] 45°
Which is a solution of the equation x+4=6
[a] x=2
[b] =3
[c] x=4
[d] x=6
The mean of the first whole number is
[a] 2
[b] 5
[c] 3
[d] 4
The value of 26.3+1000 is
[a] 0.0263
[b] 0.2630
[c] 26300
[d] 26.300
--8x10x9 is equal to
[a] 27
[b] -27
[c] -720
[d] 720
(P.T.O.
Answers
Answer:
If two angles are complementary, the sum of their measures is 90 degrees.
.
Call one of the angles x.
.
This means that its complement is 90 - x degrees.
.
But the difference in their measures is 12 degrees. Therefore, you can write the equation:
.
x - (90 - x) = 12
.
Since the parentheses are preceded by a minus sign, you can remove the parentheses if you also
change the signs of the terms inside the parentheses. Therefore, when you remove the parentheses
the equation becomes:
.
x - 90 + x = 12
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Combine the two x terms on the left side to get:
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2x - 90 = 12
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Get rid of the -90 on the left side by adding 90 to both sides to get:
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2x = 102
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Solve for x by dividing both sides of the equation by 2 to get:
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x = 102/2 = 51
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So the measure of one of the two angles is 51 degrees. Its complement is the amount that
must be added to that angle such that this sum is 90 degrees. By subtracting 51 from 90
degrees, you find that the complement of the angle is an angle of 39 degrees. Note that
the difference in the two angles is 51 - 39 = 12 degrees, just as the problem specified.
.
The answer to this problem is that the measures of the two complementary angles are 51
degrees and 39 degrees.
If two angle are supplementry then the sum of their measure is 180°
Which is a solution of the equation x+4=6 Ans) x=2
The mean of the first whole number is Question INCOMPLETE
The value of 26.3+1000 is 1026.3 If you meant multiply then 26300
-8x10x9 is equal to Ans) -720