Question

for an angle x°,find :
1. the complimentary angle
2. the supplimentary angle
3. the valu of x° if its supplimentary angle is three times it's complimentary angle.​

Answer 1

Step-by-step explanation:

To find the complement of an angle x, subtract x's measurement from 90 degrees: 90 degrees - x degrees = the measure of x's complementary angle. To find the supplement of an angle y, subtract y's measurement from 180 degrees: 180 degrees - y degrees = the measure of y's supplementary angle.

et the angle to be solved be

x

Let the supplement/compliment by

y

x

+

y

=

90

Complimentary angles add up to 90 degrees.

x

+

3

y

=

180

Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x

+

y

=

90

Isolate

x

:

x

=

90

−

y

Input into the other equation:

(

90

−

y

)

+

3

y

=180

Combine like terms, isolate

y

and its coefficients:

2

y

=

90

Isolate

y

y

=

45

Input into the first equation:

x

+

45

=

90

Isolate

x

:

x

=

45

degrees

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Answer 2

1)90°-x°

2)180°-x°

3)see the attachment

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