Question

The difference in the measure of two complementary angles is 12° find the measure of the angles​

Answer 1

Answer:

51,39

Step-by-step explanation:

complementary angles

let them be X and y

X+Y=90(we know)

X-Y=12

-----------

2X=102

X=51

X+Y=90

51+Y=90

Y=90-51

Y=39

Answer 2

Answer:

39 and 51

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Step-by-step explanation:

let the angles be x and x+12 (because of the difference between the two angles according to the question.)

also, the sum of complementary angles is always 90 deg.

so, here, we can frame an equation: x+x+12 = 90deg

we can solve it like so:

2x + 12 = 90 deg (solve LHS)

2x = 90 deg - 12 (transpose 12)

2x = 78 (solve RHS)

x = 78/2 (transpose 2)

x = 39 (solve RHS)

to find out the measure of each angle, we need the values of x and x+12

x = 39 deg

x+12 = 51

these are the measures of the angles.