The angle measurements in the diagram are represented by the following expressions

∠A is equal to 73°

Step-by-step explanation:

Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°

With that we can take the two equations at the top, and add them together for a sum of 180°:

6x - 35° + 3x + 53° = 180°

9x + 18° = 180°

x + 2° = 20°

x = 18°

Now that we have x, we can solve for ∠A:

∠A = 6x - 35°

∠A = 6(18°) - 35°

∠A = 108° - 35°

∠A = 73°

We can test our answer by solving for ∠B.  We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°.  Now let's solve for be given x and the original equation, and see if we have the right numbers:

∠B = 3x + 53°

∠B = 3(18°) + 53°

∠B = 54° + 53°

∠B = 107°

Which matches up, showing us that we have the correct answer.

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632

answer: about 22.67

step-by-step explanation: