Question

The measures of the angles of a triangle are given.

. The measure of angle A is (x + 6).
. The measure of angle B is twice the measure of angle A.
. The measure of angle C is equal to the measure of angle A.

What is the value of x?

Upload a picture of your handwritten work. Your picture must include:

. the correct equation
. all steps used to solve the equation
. the final value of x

Uploaded documents that are typed will not earn any points.

(6 points)

Answer 1

I can’t upload a handwritten picture for you, but here is the correct equation, every step to solve it, the final value of x, and brief instructions so you can write and photograph your own work exactly as required.

Work to write by hand (copy these lines on paper):

1. Let A = x + 6.
B = 2A = 2(x + 6).
C = A = x + 6.

2. Sum of angles in a triangle: A + B + C = 180.

3. Substitute: (x + 6) + 2(x + 6) + (x + 6) = 180.

4. Simplify: x + 6 + 2x + 12 + x + 6 = 180
=> 4x + 24 = 180.

5. Solve: 4x + 24 = 180
4x = 180 − 24 = 156
x = 156 / 4 = 39.

6. Check: A = 39 + 6 = 45°, B = 2·45° = 90°, C = 45°. Sum = 45 + 90 + 45 = 180° (correct).

Final answer: x = 39.

Tips for your photo: use white paper and dark pen, write each step clearly and in order, include the equation (step 3), the algebraic steps (4–5), and the final value (step 6). Take the picture in good light so all writing is readable and avoid any typed text.