Question

15. The difference in the measures of two complementary angles is 120

. Find the measures of the angles.
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Answer 1

Answer:

$x = 150 \: \: \: y = 30$

Step-by-step explanation:

$x + y = 180 \\ x - y = 120 \\ 150 + 30 = 180 \\ 150 - 30 = 120$

Answer 2

Answer:

Your question is incorrect. It should be 'Supplementary angles' instead of 'complementary

angles'

Step-by-step explanation:

if it is Supplementary angles then this is your answer:-

x + y=180°

x + y=180°x - y=120°

x + y=180°x - y=120°2x = 300

x + y=180°x - y=120°2x = 300x = 300/2 = 150°

x + y=180°x - y=120°2x = 300x = 300/2 = 150°

x + y=180°x - y=120°2x = 300x = 300/2 = 150° x + y = 180°

x + y=180°x - y=120°2x = 300x = 300/2 = 150° x + y = 180°150° + y = 180°

x + y=180°x - y=120°2x = 300x = 300/2 = 150° x + y = 180°150° + y = 180°y= 180° − 150° =30°

x + y=180°x - y=120°2x = 300x = 300/2 = 150° x + y = 180°150° + y = 180°y= 180° − 150° =30°x = 150° and y = 30°

x + y=180°x - y=120°2x = 300x = 300/2 = 150° x + y = 180°150° + y = 180°y= 180° − 150° =30°x = 150° and y = 30°

x + y=180°x - y=120°2x = 300x = 300/2 = 150° x + y = 180°150° + y = 180°y= 180° − 150° =30°x = 150° and y = 30°

x + y=180°x - y=120°2x = 300x = 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

$</p><p></p><p>\begin{gathered}x + y = 90 \\ x - y = 120 \\ 2x = 210 \\ x = \frac{210}{2} = 105 \\ x + y = 90 \\ 105 + y = 90 \\ y = 90 - 105 = - 15 \\ this \: is \: not \: possible\end{gathered}x+y=90x−y=1202x=210x=2210=105x+y=90105+y=90y=90−105=−15thisisnotpossible</p><p></p><p></p><p></p><p></p><p>$

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