In a geometric diagram, LA and LB are complementary, and they form a straight line with LC. If mLA = x° , m/B = (2x) °
°, and mLC = 90°, what is the measure of
LB? (1 point)
• 90°
О 60°
О 180°
• 30°
The sum of the measures of complementary angles is 90°. Since LA and LB are complementary, LA + LB = 90.
Given that mLA = x° and mLB = 2x°, we can substitute these values in:
x + 2x = 90
3x = 90
x = 30
Therefore, mLB = 2(30) = 60°.
The measure of LB is 60°.
Option: О 60°