Question

For square ABCD, if m∠ACB = (8x – 27)°, find the value of x.

Answer 1

x = 9°

Explanation:

∠ACB = 45° because line AC bisects ∠BCD which is 90° (because square).

8x - 27° = 45°

add 27° to each side:

8x = 72°

divide both sides by 8:

x = 9°

Answer 2

x=9

Explanation:

Since ABCD is a square, we know that AC bisects ∠BCD(=90), and therefore ∠ACB=45.

8x-27=45

8x=72

x=9