Question

Angles L and K are alternate interior angles. The measure of L is 150°. What is mK?

A. 30°
B. 40°
C. 150°
D. 180°

Answer 1

• m<k be x.

Alternative angles have sum 180°

`\\ \rm\hookrightarrow 150+x=180`

`\\ \rm\hookrightarrow x=180-150`

`\\ \rm\hookrightarrow x=30`

Answer 2

Note that:

• Alternate inner angles are always equal.
• ∠L = 150°
• ∠L = ∠K

Looking at the notes, we can conclude that ∠K measures 150° because of the equation (∠L = ∠K).

Hoped this helped!