Math, asked by navanshi04, 9 months ago

The difference of two complementary angles is 40 the angles r65 nd35

Answers

Answered by JONE45AVENGERS

ANSWER--

One of the angles is 65˚.

The other is 25˚.

Explanation:

Complementary angles sum to 90˚.

∠1+∠2=90

For our purposes, we will consider the first angle larger and the second angle smaller.

We are given another piece of information: that the difference of the angles is 40˚. Difference means subtraction, so we can construct the following equation.

∠1=40+∠2

(40+∠2)+∠2)=90

Then, we need to simplify to find ∠2.

40+2∠2=90

2∠2=50

∠2=25

Finally, we can plug this value back in to the original equation to find the other angle measure.

∠1+25=90

∠1=65

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Answered by chaitanya942

Answer:

let the two complementary angles be x and y

then, x-y = 40 ...(1)

and, x+y=90 ...(2)

solving 1 and 2 we get

x = 65° and y=25°

Step-by-step explanation:

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