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Central Angles and Arc Measures Practice

What is X?

Central Angles and Arc Measures Practice What is X?-example-1
User Budgw
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1 Answer

5 votes

Answer:
5^(\circ)

Explanation:

Given


\angle DIE=(18x-2)^(\circ)\\\angle DIH=15^(\circ)\\\angle FIG=103^(\circ)

from the figure


\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^(\circ)+(18x)^(\circ)-2^(\circ)=103^(\circ)\\(18x)^(\circ)=103^(\circ)-13^(\circ)\\\\x=(90^(\circ))/(18)\\\\x=5^(\circ)

User Jimscafe
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