The difrerce in measure of two complementary angle is 12° find it measure of angle
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Answer:
Step-by-step explanation:
sum of two complementary angles = 180
a + b = 180
a - b = 12
.........................
add both equations
2a = 192
a = 96
b = 84
drishti1003:
Complementary angles give a total of 90° and not 180°...
oh yes use 90 degrees as sum and solve it. m really sorry.
a+b=90, a-b= 12 add them, 2a=102, a=51, b=39
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Let the 2 angles be x and y.
As per the first condition,
x - y = 12° ------(i)
As per the second condition,
x + y = 90° (as they are complementary) ---(ii)
Adding (i) and (ii), we get...
2x = 102°
x = 102 ÷ 2
x = 51° -----(iii)
substituting (iii) in (ii), we get...
(51) + y = 90°
y = 90 - 51
y = 39°
Therefore, the two angles are 51° and 39°.
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