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.

1 answer

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.
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