Question

two complementary angles differ by 8°. find the angles

Answer 1

Answer:

The sum of two complementary angles=90

Let one angle be x

The other angle =90-x

:•

(90-x)-x=8

90-x-x=8

-x-x=8-90

-2x=-82

-x=-82/2

-x=-41

x=41

Hence,

First angle=41°

Second angle=90-41=49°

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Answer 2

Answer:

$Required \:two \: complementary \:angles \:are$

$\red {x} = 49\degree$

$and \: \red {90-x }= 90 - 49 = 41\degree$

Step-by-step explanation:

Complementary angles:

Sum of any two angles equal to 90° is called complementary angles.

$Let \: one \: angle = x \degree$

$It's \: complementary \:angle = (90-x) \degree$

/* According to the problem given

$x - (90-x) = 8$

$\implies x - 90 + x = 8$

$\implies 2x = 90 + 8$

$\implies 2x = 98$

$\implies x = \frac{98}{2} = 49\degree$

Therefore.,

$Required \:two \: complementary \:angles \:are$

$\red {x} = 49\degree$

$and \: \red {90-x }= 90 - 49 = 41\degree$

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