In a geometric diagram, LA and LB are complementary, and they form a straight line with LC. If mLA = x° , mLB = (2x)°, and mLC = 90°
, what is the measure of LB?
(1 point)
Since LA and LB are complementary, we know that the sum of their measures is equal to 90 degrees.
So, we have:
mLA + mLB = 90°
Since mLA is given as x° and mLB is given as (2x)°, we can substitute these values into the equation:
x° + (2x)° = 90°
Simplifying the equation, we get:
3x° = 90°
Dividing both sides by 3, we get:
x° = 30°
Now that we know the value of x, we can substitute it back into the equation mLB = (2x)° to find the measure of LB:
mLB = 2(30°) = 60°
Therefore, the measure of LB is 60 degrees.