<hat and <can are vertical angles with m<hat = 4 ( x + 3 ) and m<can = 3 ( 2x - 3) what is the m<hat

asked Jul 15, 2024 221k views

3 votes

<hat and <can are vertical angles

with m<hat = 4 ( x + 3 ) and m<can = 3 ( 2x - 3)
what is the m<hat

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2 votes

Answer:

$54^(\circ)$

Explanation:

Vertical angles are congruent.

$\implies 4(x+3)=3(2x-3) \\ \\ 4x+12=6x-9 \\ \\ 12=2x-9 \\ \\ 2x=21 \\ \\ m\angle hat=4x+12=2(21)+12=54^(\circ)$

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