Question

can you please answer it​

Answer 1

Answer:

• i) x = 4 and y = 1
• ii) x = 130° , y = 50° and z = 50°

Step-by-step explanation:

i) Here,

3x + 1 = 2x + 5

⟹ 3x - 2x = 5 - 1

⟹x = 4

Moreover,

3x+1 = 3 × 4 + 1 = 12 + 1 = 13

2x+5 = 2 × 4 + 5 = 8 + 5 = 13

Again,

5y-2 = 4-y

⟹5y + y = 4 + 2

⟹6y = 6

⟹y = 6/6

⟹y = 1

Moreover,

5y-2 = 5 × 1 - 2 = 5 - 2 = 3

4 - y = 4 - 1 = 3

Hence, x = 4 and y = 1.

ii) Let p and q be the linear pair of 130° and z as given in figure respectively.

p+130° = 180° [ Linear pairs ]

⟹ p = 180° - 130°

⟹p = 50°

Now,

p = y [ opposite angles in a parallelogram are equal ]

⟹ 50° = 50°

Again,

z = p [ Corresponding angles ]

⟹ 50° = 50°

Here,

z + q = 180° [ Linear pairs ]

⟹ 50° + q = 180°

⟹q = 180° - 50°

⟹q = 130°

And,

q = x [ opposite angles in a parallelogram are equal ]

⟹ 130° = 130°

Hence, x = 130° , y = 50° and z = 50°.