Question

<hat and <can are vertical angles

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

Answer 1

`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)`