Question

Given that j || k, what is the measure of the missing angle?

A) 30°
B) 40°
C) 60°
D) 120°

Answer 1

60 degrees or C. Since the missing angle is the opposite of the 120 degree angle, 180 degrees minus(since that is the amount of degrees in a straight line, and a circle contains 360 degrees) the other angle gives you your answer.

Answer 2

the measure of the missing angle is 60°

Explanation:

GIVEN : j || k

solution :

We will use the property of linear pairs

120° + ∠1 = 180° (sum of linear pairs is 180°)

⇒ ∠1 = 180°- 120°

⇒∠1 = 60°

now since j || k

So, we can use corresponding angle properties

So, ∠? = ∠1 (corresponding angles are equal)

⇒∠? = ∠1 = 60°

Thus ? = 60°