Question

two complementary angles differ by 16,the angles are​

Answer 1

$so \: the \: two \: suplementary \: angles \: are \: 82 \: and \: 98$

$refer \: to \: the \: attachment$

$hope \: it \: helps$

$mark \: as \: brainliest \: answer$

✌️✌️

$\huge\boxed{\fcolorbox{red}{pink}{by \: @prashansa2008}}$

Answer 2

Answer: Angles are 53° and 37°

Step-by-step explanation:

Before you solve this type of similar problems, you need to know what are complementary angles or you wont be able to solve.

Complementary angles: Complementary angles are those 2 angles whose sum is 90°. For example: ∠60° and ∠30°

Now Lets Get into the problem.

We are told that two complementary angles differ by 16. In Addition we now know that two complementary angles add up to 90.

Let both the angles be x and y respectively.

∴ x + y = 90 -----------------------(i)

∴ x - y = 16 -------------------------(ii)

Solving using Elimination Method.

x + y = 90 ----------(i)

x - y = 16 -----------(ii)

Adding Eqn (i) and (ii)

2x = 90 + 16                    (+y and -y gets cancelled)

2x = 106

x = 106/2

x = 53°

Substitute x = 53 in eqn (ii)

x - y = 16

53 - y = 16

-y = 16 - 53

-y = -37

y = 37°

So the Angles are 53° and 37°

Lets Verify our answer. We know that sum of complementary angles is 90

∴ 53 + 37 = 90

∴ 90 = 90

∴ LHS = RHS