Question

I need help on this question

Answer 1

`m\angle1=2^\circ\\m\angle2=88^\circ`

Explanation:

As both angles are complementary, meaning they add up to 90°, we can simply solve for x using this sum and find each individual angle measure:

`m\angle1+m\angle2=90^\circ\\(x-9)^\circ+(8x)^\circ=90^\circ\\x-9+8x=90\\9x-9=90\\9x=99\\x=11\\\\m\angle1=(x-9)^\circ=(11-9)^\circ=2^\circ\\m\angle2=(8x)^\circ=(8\cdot11)^\circ=88^\circ`