Compute the measure of the complement of <Y in terms of x if m<Y = (8x-20) degrees
the complement of Y is 90-Y, right?
Yes, I think I figured it out, I got that the complement was -8x+110
correct
To find the measure of the complement of angle Y, we need to first understand what a complementary angle is. Complementary angles are two angles whose measures add up to 90 degrees.
So, if m<Y is given as (8x-20) degrees, we can write the equation as:
m<Y + m<complement of Y = 90 degrees
Substituting the measure of angle Y, we have:
(8x-20) + m<complement of Y = 90
Next, we can isolate m<complement of Y by subtracting (8x-20) from both sides of the equation:
m<complement of Y = 90 - (8x-20)
To simplify further, we can distribute the negative sign to (8x-20):
m<complement of Y = 90 - 8x + 20
Combining like terms, we get the final answer:
m<complement of Y = -8x + 110
Therefore, the measure of the complement of angle Y in terms of x is -8x + 110 degrees.