Answer:
x = 10
Step-by-step explanation:
You stated that it is a square. Squares have 4 angles, and all angles are at 90°. If we assume that there are no other lines connecting the points besides the sides of the square, then we can infer that ∠B = 90°.
You stated that ∠B = 3x + 60. Therefore, 90 = 3x + 60.
90 - 60 = 3x + 60 - 60
30 =3x
[tex]\frac{30}{3}[/tex] = [tex]\frac{3x}{3}[/tex]
10 = x
Before we can conclude this answer, we need to confirm that it's a valid solution.
∠B = 90°
∠B = 3x + 60
∴ 90 = 3x + 60.
90 = 3 · (10) + 60
90 = 30 + 60
90 = 90
Therefore, x = 10 is a valid solution.
