Math, asked by tagoresanjana, 1 month ago

Write a complement of each angles:-
a) 53
b) 45
c) 19
d) 69
d) 81
fach
fonch angles​

Answers

Answered by chric
0

Answer:

a. 37

b. 90

c. 71

d. 21

e. 9

Step-by-step explanation:

hope it helps u

Answered by CuteAnswerer
10

GIVEN :

  • a) 53°
  • b) 45°
  • c) 19°
  • d) 69°
  • e) 81°

TO FIND :

  • Complement of each angles.

KNOWLEDGE REQUIRED :

  • Two angles are said to be complementary , if the sum of two angles is equal to 90°.

SOLUTION :

Let complement in each case be .

  • a) 53°

\implies{ \sf{53 ^ {\circ}  + x^ { \circ}= 90^ { \circ}} } \\  \\

\implies{ \sf{ x^ { \circ}= 90 ^ { \circ}- 53 ^ { \circ}} } \\  \\

\implies{ \underline{ \boxed{ \red{ \bf{ x^ { \circ}= 37 ^ { \circ}} }}}}

\huge {\pink{\therefore}} The complement of 53° is 37°.

  • b) 45°

\implies{ \sf{45^ {\circ}  + x^ { \circ} = 90^ { \circ}} } \\  \\

 \implies{ \sf{ x^ { \circ} = 90 ^ { \circ}- 45^ { \circ}} } \\  \\

\implies{ \underline{ \boxed{ \red{ \bf{ x^ { \circ}= 45 ^ { \circ}} }}}}

\huge {\pink{\therefore}} The complement of 45° is 45°.

  • c) 19°

 \implies{ \sf{19^ {\circ}  + x^ { \circ}= 90^ { \circ}} } \\  \\

\implies{ \sf{ x^ { \circ}= 90 ^ { \circ}- 19^ { \circ}} } \\  \\

\implies{ \underline{ \boxed{ \red{ \bf{ x^{ \circ}= 71 ^ { \circ}} }}}}

\huge {\pink{\therefore}} The complement of 19° is 71°.

  • d) 69°

 \implies{ \sf{69^ {\circ}  + x^ { \circ}= 90^ { \circ}} } \\  \\

\implies{ \sf{ x^ { \circ}= 90 ^ { \circ}- 69^ { \circ}} } \\  \\

\implies{ \underline{ \boxed{ \red{ \bf{ x^ { \circ}=21 ^ { \circ}} }}}}

\huge {\pink{\therefore}} The complement of 69° is 21°.

  • e) 81°

 \implies{ \sf{81^ {\circ}  + x^ { \circ}= 90^ { \circ}} } \\  \\

\implies{ \sf{ x^ { \circ}= 90 ^ { \circ}- 81^ { \circ}} } \\  \\

\implies{ \underline{ \boxed{ \red{ \bf{ x^{\circ}=9 ^ { \circ}} }}}}

\huge {\pink{\therefore}} The complement of 81° is .


Skyllen: Nice work
Anonymous: Awesome!
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