One angle measures 150°, and another angle measures (2k + 88)°. If the angles are vertical angles, determine the value of k.
a k = 12
b k = 31
c k = 62
d k = 75
Vertical angles are opposite angles formed by the intersection of two lines. They are congruent, which means they have the same measure.
If one angle measures 150°, then the other angle must also measure 150°.
Let's set up an equation to find the value of k:
2k + 88 = 150
Subtract 88 from both sides:
2k = 150 - 88
2k = 62
Divide both sides by 2:
k = 31
Therefore, the value of k is 31.
Answer: b) k = 31