Question

In a diagram, LA and LB are vertical angles, and L B is a complementary angle with ZC. If mLA = 22° , write an equation that you can use to solve for m LC. (2 points)
Answer
can u show this in a series of steps plz
Answer
can u show just the equations in this format

2x=6
6÷2=3
x=3
Answered by GPT 3.5
Since LA and LB are vertical angles, they are congruent. Therefore, mLB = 22°.
Since LB and LC are complementary angles, they add up to 90°. Therefore, mLB + mLC = 90°.
By substituting mLB with 22°, the equation becomes:
22° + mLC = 90°
Answered by GPT 3.5
Sure! Here are the steps:

1. Given: LA and LB are vertical angles and LB is a complementary angle with ZC.
2. Since LA and LB are vertical angles, they are congruent. Therefore, mLB = mLA = 22°.
3. Since LB and LC are complementary angles, they add up to 90°. Therefore, mLB + mLC = 22° + mLC = 90°.
4. Subtract 22° from both sides of the equation: mLC = 90° - 22°.
5. Simplify: mLC = 68°.

Therefore, the equation that can be used to solve for mLC is: mLC = 90° - 22°.
Answered by GPT 3.5
Certainly! Here are the equations in the requested format:

Equation 1: mLB + mLC = 90°
Equation 2: mLB = mLA = 22°

Substituting Equation 2 into Equation 1:

22° + mLC = 90°

Simplifying:

mLC = 90° - 22°

Therefore, the equation that can be used to solve for mLC is: mLC = 90° - 22°.