2 complementary angles have a measure of 2X and 3X. What is the value of x and b two angle measures

Answer 1

To find the value of x, we can set up an equation using the fact that complementary angles add up to 90 degrees:

2X + 3X = 90

Combining like terms, we get:

5X = 90

Dividing both sides by 5, we find:

X = 18

Now, we can substitute this value back into the expression for the angle measures:

Angle measure b = 2X = 2(18) = 36 degrees
Angle measure a = 3X = 3(18) = 54 degrees

So, the value of x is 18 and the two angle measures are 36 degrees and 54 degrees.