Question

pls help jaldi se krdo bhai hlp

Answer 1

Answer:

• x = 34°
• y = 35°

Step-by-step explanation:

The questioner asks for the values of 'x' and 'y' which are measures of angles in parallelogram ABCD.

Before getting the solution, one needs to be aware of the following properties a parallelogram has :

• Opposite sides are equal.
• Opposite angels are equal.
• Consecutive angles are supplementary.

We need to apply the above mentioned properties to get the solution.

∠A and ∠B are concecutive angles. So, their sum is 180°

• ∠A = 3y°
• ∠B = (2y - 5)°

$\longrightarrow$ 3y + (2y - 5) = 180

$\longrightarrow$ 5y - 5 = 180

$\longrightarrow$ 5y = 180 - 5

$\longrightarrow$ 5y = 175

$\longrightarrow$ y = $\sf{\dfrac{175}{5}}$

$\longrightarrow$ y = 35°

Measure of y = 35°

Measure of ∠A

$\longrightarrow$ ∠A = 3(35)

$\longrightarrow$ ∠A = 105°

∠A and ∠C are opposite angles. So, their measure will be same.

• ∠C = 105°

$\longrightarrow$ 3x + 3 = 105

$\longrightarrow$ 3x = 105 - 3

$\longrightarrow$ 3x = 102

$\longrightarrow$ x = $\sf{\dfrac{102}{3}}$

$\longrightarrow$ x = 34

Measure of x = 34°

Therefore, the measure of x and y is 34° and 35° respectively.

Answer 2

$\huge\bold{Given}$

∠A = (3y°)

∠B = (2y - 5)°

∠C = (3x + 3)°

$\huge\bold{To \: Find}$

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°

∴ x = 36°& y = 37°.