Question

If ∠A and ∠B are supplementary angles, and the measure of ∠A is represented by 7x – 15 degrees while the measure of ∠B is represented by 23 – 3 degrees, what is the measure of ∠A (in degrees)?

Answer 1

To find the measure of angle A, set up an equation using the fact that angles A and B are supplementary. Solve the equation to find the value of x, then substitute the value of x into the equation for angle A to find its measure.

Step-by-step explanation:

To find the measure of angle A, we can equate the measures of angles A and B since they are supplementary. So we have 7x - 15 = 23 - 3x.

We can solve this equation for x:

7x + 3x = 23 + 15

10x = 38

x = 3.8

To find the measure of angle A, we substitute the value of x into the equation for angle A: 7(3.8) - 15 = 26.6 - 15 = 11.6 degrees.