Question

3. In the given parallelogram ABCD, find the value of x and y.
D
(3x + 3)
3yo
(2y - 5)
B​

Answer 1

Answer:

Given:-

∠A = (3y°)

∠B = (2y - 5)°

∠C = (3x + 3)°

To Find:-

Value of (x) and (y).

_________...

Here,

∠A + ∠B = 180° (Since they are adjacent angles)

According to the Question:-

∠A + ∠B = 180°

→ (3y°) + (2y - 5)° = 180°

→ 3y° + 2y° - 5° = 180°

→ 5y° = 180° + 5°

→ y° = 185°/5

→ y° = 37°

NOW, finding value of (x) :-

Also,

∠B + ∠C = 180° (Since they are adjacent angles)

So,

(2y - 5)° + (3x + 3)° = 180°

→ [2(37) - 5]° + (3x + 3)° = 180°

→ [74 - 5]° + 3x° + 3° = 180°

→ 69° + 3° + 3x° = 180°

→ 72° + 3x° = 180°

→ 3x° = 180° - 72° = 108°

→ x° = 108°/3

→ x° = 36°

∴ x = 36°

& y = 37°.

Step-by-step explanation: