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The value of ∠4 is 45° .

Step-by-step explanation:

Given that , ∠4 = x + 30 ° & ∠2 = 2x + 15 .We need to find the measure of ∠4 . So from the figure we can see that , ∠2 & ∠4 are corresponding angles .So they will be equal.

⇒ ∠2 = ∠4 [ Corresponding angles ]

⇒ x + 30° = 2x + 15°

⇒ 2x - x = 30° - 15°

⇒ x = 15°

Hence the value of x is 15°

⇒ ∠4 = x + 30°

⇒ ∠4 = 15° + 30°

⇒ ∠4 = 45°

3cm

Step-by-step explanation:

The shape of an iPod Shuffle is similar to that of square.

The Area of a square = (Side length)²

We are told in the question that the area of the iPod was 9 cm².

We are to find the side length of the iPod.

Therefore,

The Area of a square = (Side length)²

9cm² = L²

Square root both sides

√9 cm² = √L²

L = 3cm

Therefore, the side of the iPod is 3cm long.