One of two complementary angles has a measure of 6º greater than the other. What is the measures of the larger angle?

x + x - 6 = 90

2x = 96

x = ?

thx

YW

To find the measure of the larger angle, we need to set up an equation based on the given information.

Let's assume one angle is x degrees. Since it is mentioned that one angle is 6º greater than the other, the second angle would be x + 6 degrees.

Since these two angles are complementary, which means their sum is 90 degrees, we can write the equation:

x + (x + 6) = 90

Now we can simplify and solve the equation:

2x + 6 = 90
2x = 90 - 6
2x = 84
x = 84/2
x = 42

So, the smaller angle is 42 degrees, and the larger angle is x + 6 = 42 + 6 = 48 degrees.