Find x.

Supplementary angles with measures 10x+7 and 7x+3.

Complementary angles with measures 3x-5 and 6x-40.

To find x, we can set up two equations using the given information.

First, let's set up the equation for the supplementary angles. Supplementary angles add up to 180 degrees.

So, we have (10x + 7) + (7x + 3) = 180.

Simplifying this equation, we get 17x + 10 = 180.

Subtracting 10 from both sides, we have 17x = 170.

Dividing both sides by 17, we find x = 10.

Now, let's set up the equation for the complementary angles. Complementary angles add up to 90 degrees.

So, we have (3x - 5) + (6x - 40) = 90.

Simplifying this equation, we get 9x - 45 = 90.

Adding 45 to both sides, we have 9x = 135.

Dividing both sides by 9, we find x = 15.

Therefore, x = 10 for the supplementary angles and x = 15 for the complementary angles.

To find the value of x, we need to set up equations using the information given.

For the supplementary angles:
We know that two angles are supplementary when their measures add up to 180 degrees. So, we can set up the equation:
10x + 7 + 7x + 3 = 180

Simplifying the equation:
17x + 10 = 180

Subtracting 10 from both sides:
17x = 170

Dividing both sides by 17:
x = 10

Therefore, x = 10 for the supplementary angles.

Now, let's find x for the complementary angles:

We know that two angles are complementary when their measures add up to 90 degrees. So, we can set up the equation:
3x - 5 + 6x - 40 = 90

Simplifying the equation:
9x - 45 = 90

Adding 45 to both sides:
9x = 135

Dividing both sides by 9:
x = 15

Hence, x = 15 for the complementary angles.

10x+7 + 7x+3 = 180

3x-5 + 6x-40 = 90

I think that is how you set it up.

10x+7+7x+3