two complementary angles are draw such that one angle is 10 gegree more than seven times the other angle.find the measure of each angle

no

x + (7x+10) = 90

To find the measure of each angle, we can set up an equation based on the information given.

Let's assume that one angle is x degrees. According to the question, the other angle is 10 degrees more than seven times the first angle. So, the measure of the second angle can be expressed as 7x + 10 degrees.

Now, we know that complementary angles add up to 90 degrees. Therefore, we can set up the equation:

x + (7x + 10) = 90

Now, we can solve this equation to find the value of x.

Combining like terms, we get:

8x + 10 = 90

Subtracting 10 from both sides:

8x = 80

Dividing both sides by 8:

x = 10

So, one angle is 10 degrees.

Now, we can find the measure of the other angle by substituting the value of x back into the expression we derived earlier:

7x + 10 = 7(10) + 10 = 70 + 10 = 80

Therefore, the other angle is 80 degrees.

In conclusion, one angle measures 10 degrees, and the other angle measures 80 degrees.