Question

Find the measure of angle A (please help!!!)

Answer 1

Answer: 41 degrees

Step-by-step explanation:

so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:

i rewrote it and removed the parentheses.

4x + 1 + 4x + 19 = 100

then, i collected like terms and calculated it.

8x + 20 = 100

then, i moved the constant to the right.

8x = 100 - 20

then, i simply calculated it.

8x = 10

solution: x = 10

so, we just insert X into the angle for A. that gets us 4(10) + 1 = angle A

40 + 1 = angle A, hence angle A = 41 degrees.