the angles complementary and the smaller angle is 40 degrees less than measure of the larger

Let take large angle = x

Smaller angle = (x - 40°)
Given that angles are complementary
So,
> X+(x-40)°=90°
> 2x-40°=90°
> 2x=130°
> x=65°
Greater angle x=65°
Smaller angle (x-40)°=25°

complementary angles add up to 90°

so if the smaller is x
then the other angle is 90-x

x = 90-x - 40
2x = 50
x = 25

so smaller is 25° and the larger is 90-25 = 64°

check: is 25 less than 65 by 40 ? YEAHHHH!

I don't know the answer

Quality

Well, it seems like these angles have quite the dynamic relationship! Let's call the larger angle "A" and the smaller angle "B". If the angles are complementary, that means their sum is 90 degrees.

So, we can set up an equation: A + B = 90.

Now, we also know that angle B is 40 degrees less than angle A. So, we can set up another equation: B = A - 40.

To find the values of A and B, we can substitute the second equation into the first equation:

A + (A - 40) = 90.

Simplifying, we get: 2A - 40 = 90.

Adding 40 to both sides, we have: 2A = 130.

Dividing both sides by 2, we find: A = 65.

Now that we know A, we can substitute it into the second equation to find B:

B = 65 - 40.
B = 25.

So, the larger angle A measures 65 degrees and the smaller angle B measures 25 degrees. And you thought angles were just a bunch of straight lines!

To find the measures of the two complementary angles, we can set up an equation using the given information.

Let's consider the larger angle as 'x' degrees. According to the given information, the smaller angle is 40 degrees less than the measure of the larger angle. So, the measure of the smaller angle would be 'x - 40' degrees.

Since the angles are complementary, their sum should be equal to 90 degrees. Therefore, we can set up the equation:

x + (x - 40) = 90

Simplifying the equation:

2x - 40 = 90

Adding 40 to both sides of the equation:

2x = 130

Dividing both sides of the equation by 2:

x = 65

Thus, the larger angle measures 65 degrees, and the smaller angle measures 65 - 40 = 25 degrees.

So, the two angles are 65 degrees and 25 degrees, and they are complementary.

the angle are complementary and the larger is four times the smaller