Since <X and LY are vertical angles, they are congruent. Therefore, m<X = mLY = 41°.
Since <X is a complementary angle with LZ, we know that m<X + mLZ = 90°.
Substituting the known value of m<X, we get:
41° + mLZ = 90°
This is the equation that can be used to find mLZ.
Math 7B Unit 3 Study Guide
15. In a diagram, <X and LY are vertical angles and <X is a complementary angle with LZ. If mLY is 41°, write an equation that you can use for mLZ.
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