Question

The difference between the measures of two complementary angles are 120 .Find the measures of the angles

Answer 1

Answer:

the question is incorrect

it should be supplementary (180°) not complimentary (90°)

Step-by-step explanation:

$x + y = 180 \\ x - y = 120 \\ 2x = 300 \\ x = \frac{300}{2} = 150 \\ x + y = 180 \\ 150 + y = 180 \\ y = 180 - 150 = 30 \\ x = 150 \: \: \: and \: \: y = 30$

if it is complimentary the 2nd angle will be negative which is not possible

$x + y = 90 \\ x - y = 120 \\ 2x = 210 \\ x = \frac{210}{2} = 105 \\ x + y = 90 \\ 105 + y = 90 \\ y = 90 - 105 = - 15 \\ this \: is \: not \: possible$

hope you get your answer correctly

Answer 2

Answer:

Answer:

the question is incorrect

it should be supplementary (180°) not complimentary