Question

answer fasttt. ..................... ​

Answer 1

Solution :-

Given ,

• Opposite angles = (3x + 5)° , (61 - x)°

We need to find ,

• All angles of parallelogram = ?

Method of solving :-

• Firstly finding the value of x , and finding the value of one angle then as we know that , sum of adjacent angles of a parallelogram are equal So , by using it we can get the value of each angle.

So ,

=> (3x + x)° = (61 - 5)°

=> 4x = 56°

=> x = 54°/4

=> x = 14°

Now finding one angle :-

• (3x + 5)° = 3(14) +5 = 47°

Now ,

• 180° - 47° = Adjacent angle of (3x + 5)°

• 133°

Now here opposite angles are equal , so two pairs of angles will be equal .

Hence, all angles are = 133°,47° & 47°,133° .

Answer 2

$\; \; \; \; \; \; \; \; \;{\large{\bold{\sf{\underbrace{Topic \; – \; Parallelogram}}}}}$

_________________________

${\large{\bold{\sf{\underline{Question}}}}}$

➨ The opposite angles of a parallelogram are (3x + 5)° and (61 - x)° .Find the measure of four angles.

${\large{\bold{\sf{\underline{Given \; that}}}}}$

➨ The opposite angles of a parallelogram are (3x + 5)° and (61 - x)°

${\large{\bold{\sf{\underline{To \; find}}}}}$

➨ The measure of four angles of parallelogram

${\large{\bold{\sf{\underline{Solution}}}}}$

➨ The measure of four angles of parallelogram = ( 47 , 133 , 47 , 133 )°

${\large{\bold{\sf{\underline{Full \; Solution}}}}}$

As we already know that opposite angles of parallelogram are always equal.

~ Finding value of x

⇝ (3x + 5)° = (61 - x)°

⇝ (3x + x)° = (61 - 5)°

⇝ 4x° = 56°

⇝ x° = 56/4

⇝ x° = 14°

${\green{\frak{Henceforth, \: 24 \: is \: the \: value \: of \: x}}}$

$\rule{150}{2}$

As we already know that adjacent angles of a parallelogram are supplementary ( 180° )

~ Finding all angles

Firstly,

⇝ (3x + 5)°

⇝ 3(14) + 5

⇝ 42 + 5

⇝ 47°

Now,

⇝ 180 - 47

⇝ 133°

$\rule{150}{2}$

Henceforth, 133° , 47° , 133° and 47° are all angles of parallelogram.