Question

In the figure, m<1= m<2 = 22 and m<3 = m<4 = 123. Find m

Answer 1

Answer:

57°

Step-by-step explanation:

You can notice that by putting ∠3 and ∠TKL together you have a flat angle.

A flat angle has 180 degrees.

so, you can say that m∠3 and m∠TKL add 180 degrees, then they are supplementary angles.

Remember: Two angles are supplementary if they add 180 degrees.

Then, as you know m∠3=123°:

m∠3 + m∠TKL=180°

123 + m∠TKL=180°

m∠TKL=180° - 123°

m∠TKL=57°

Answer 2

Answer:

35

Step-by-step explanation:

35 because the two angles are added 22 and 123 = 145. 145-180=35