In a geometric diagram, LA and L B are complementary, and they form a straight line with LC. If mLA = X°, MLB = (2x) °, and m/C = 90°, what is the measure of LB? (1 point)
O 90°
O 60°
O з0°
O 180°
The sum of the measures of complementary angles is always 90°. Since m/C = 90° and LA and LB are complementary, it means that mLA + mLB = 90°.
We are given that mLA = X° and mLB = 2x°. So, we can write the equation as:
X + 2x = 90
Now, we can solve for x by isolating it:
2x = 90 - X
x = (90 - X)/2
Therefore, the measure of LB (mLB) is equal to 2x°:
mLB = 2 * ((90 - X)/2)
mLB = 90 - X
So, the measure of LB is 90 - X°.