I need help on 3,4
I already did 1 and 2.

The length of the side AB is 14 units.

The value of x is 17 and the value of y is 25.3

Step-by-step explanation:

3) It is given that, the triangles ABC and DEF are similar.

The properties of similar triangles are given as :

Therefore, the sides AB and ED are corresponding sides and are in same proportion.

⇒ AB = 6y - 4

⇒ ED = 4y + 2

To solve for y value :

⇒ 6y - 4 = 4y+2

⇒ 6y - 4y = 2 + 4

⇒ 2y = 6

⇒ y = 6 / 2

⇒ y = 3

To find the side AB :

Substitute y = 3 in AB,

⇒ 6(3) - 4

⇒ 18 - 4

⇒ 14

∴ The length of the side AB is 14 units.

4) To find x and y values :

Since, the two triangles are similar, the angle D is equal to angle A.

⇒ ∠D = 5x + 2

⇒ ∠A = 87

To solve for x value :

⇒ 5x + 2 = 87

⇒ 5x = 87 - 2

⇒ 5x = 85

⇒ x = 85 / 5

⇒ x = 17

∴ The value of x is 17.

Again, the angles C and F are equal. But the angle F is not given.

To find angle F :

Sum of all three angles of triangle = 180 degree

42 + (5x+2) + ∠F = 180

Substitute x = 12,

42 + (5(12)+2) + ∠F = 180

42 + 62 + ∠F = 180

∠F = 180 - 104

∠F = 76°

Now, to solve for y value :

⇒ ∠F = 76 and ∠C = 3y are equal

⇒ 3y = 76

⇒ y = 76/3

⇒ y = 25.3

∴ The value of y is 25.3

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