The degree measure of one of two complementary angles is 30 less than twice that of the other. What are the degree measures of the angles? (Remember that complimentary angles add to be 90 degrees)

45 degrees and 45 degrees

30 degrees and 60 degrees

27 degrees and 63 degrees

40 degrees and 50 degrees

Question

The degree measure of one of two complementary angles is 30 less than twice that of the other. What are the degree measures of the angles? (Remember that complimentary angles add to be 90 degrees)
		
45 degrees and 45 degrees
		
30 degrees and 60 degrees
		
27 degrees and 63 degrees
		
40 degrees and 50 degrees

welshfella · Answer

if the angles are x any then we can write
y = 2x - 30
also as the angles rae complementary
x + y = 90

you can find the angles by solving this system of equations

welshfella · Answer

write the 2 equations in same form
y = 2x - 30
y =  90 - x

subtract:-
0 = 3x -120 
3x = 120

what is x?

sloppycanada · Answer

x = 40

welshfella · Answer

right  so what is y equal to?

sloppycanada · Answer

50.

welshfella · Answer

yea you got it

The last option is the correct one.