In a diagram, LA and LB are vertical angles, and B is a complementary angle with LC. If mLA = 22°
°, write an equation that you can use to solve for mLC. (2 points)
Since LA and LB are vertical angles, they are congruent. Therefore, we can write:
mLA = mLB
Since B is a complementary angle with LC, we know that the sum of their measures is 90°. Therefore, we can write:
mB + mLC = 90°
Substituting the measure of LA (mLA = 22°) in the first equation, we have:
22° = mLB
Finally, we can substitute both equations into the second equation to solve for mLC:
mLB + mLC = 90°