Question

In the figure, m∠1 = m∠2 = 22 and m∠3 = m∠4 = 123. From this, you can conclude that m∠TKL = _____

a. 22.


b. . 57.


c. 35.


d. 47.

Answer 1

57°

Explanation:

Angle 3 is supplementary to angle TKL. That means they add up to 180°. Therefore, 180° - 123° = 57°

Answer 2

57°

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°