In a geometric diagram, LA and LB are complementary, and they form a straight line with <C. If mLA = x°,

Question

In a geometric diagram, LA and LB are complementary, and they form a straight line with <C. If mLA = x°,

mLB = (2x) °, and mLC = 90°, what is the measure of LB?
(1 point)

Answer 1

Since LA and LB are complementary, their angles add up to 90 degrees.

So, if mLA = x degrees and mLB = (2x) degrees, we have:
x + (2x) = 90
3x = 90
x = 30
Therefore, mLB = 2 * 30 = <<2*30=60>>60 degrees. ANSWER: \boxed{60}.