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