A star patterned quilt has a star with the angels shown. What is the value of x? Explain your answer.

Answer:

81°

Step-by-step explanation:

x° and 24° are interior angles of a triangle that are opposite to an exterior angle of measure 105°. According to the exterior angle theorem of a triangle, thus:

[tex] x + 24 = 105 [/tex]

Subtract 24 from both sides

[tex] x + 24 - 24 = 105 - 24 [/tex]

[tex] x = 81 [/tex]

Value of x = 81°

Pythagoras theorems
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Column A

1.

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2.

If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.:

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3.

If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.:

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4.

If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.:

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