A) In a diagram,
LA and
<B are vertical angles, and <B is a complementary angle with <C. If mLA = 22°
, write an equation that you can use to solve for
mLC.
Since LA and <B are vertical angles, they have equal measure. So, m<LA = m<B = 22°.
Also, <B and <C are complementary angles, which means their measures add up to 90°. So, m<B + m<C = 90°.
Given that m<LA = 22°, we can substitute it in the equation:
22° + m<C = 90°
This equation can be used to solve for m<C.