Question

the difference between two complementary angles is 30degree . find each angle. ​

Answer 1

Answer:

x=60,y=30

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Step-by-step explanation:

Let the two angles be x and y

1st Case: x+y=90

2nd Case: x-y=60

Adding 1 and 2

2x=120

Therefore, x=120/2 =60

x+y=90

60+y=90

Therefore y=30

Answer 2

$\huge\underline{\fcolorbox{yellow}{pink}{Answer}}$

$let \: the \: two \: complementary \: angles \: be \: x \: and \: y \: (x > y)\\ according \: to \: question \\ x + y = 90 \: \: \: \: \: \: \: eq.1\\x - y = 30 \: \: \: \: \: \: \: eq.2 \\eq.1 + eq.2 \\ = >2 x = 120 \\ = > x = 60 \\ putting \: x = 120 \: in \: eq.1 \\ = > 60 + y = 90 \\ = > y = 90 - 60 \\ = > y = 30$

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