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Rudik [331]
3 years ago
9

Two angles are supplementary. One angle measures 26o more than the other. Find the measure of the two angles.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0
Supplementary angles are angles whose sum is equal to 180°.

Let one angle be x
The other angle is said to be 26°more than the other so it is x + 26

x + (x+26) = 180
x + x + 26 = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77

1st angle, x, is equal to 77°
2nd angle, x + 26°, is 77° + 26° = 103°

77° + 103° = 180°
180° = 180°
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evablogger [386]

Answer:

π

2

,

3

⋅

π

2

,

3

⋅

π

4

,

7

⋅

π

4

Explanation:

Factorizing your equation we get

cot

(

x

)

=

0

so

cos

(

x

)

=

0

we get the following Solutions in the given interval

x

=

π

72

or

x

=

3

π

2

for the second case we get

cot

(

x

)

=

−

1

so

cos

(

x

)

=

−

sin

(

x

)

and we get

x

=

3

π

4

or

x

=

7

π

4

Hint:

To get the Solutions of the last equation you can use

√

sin

(

x

+

π

4

)

=

0

Step-by-step explanation:

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