Question

sum of the pair of the opposite angel of a parallelogram is 240
find the remaining angel​

Answer 1

Step-by-step explanation:

Given:-

• sum of the pair of the opposite angel
• A parallelogram is 240

To Find :-

• find the remaining angel

Solution :-

=> x + x = 240

=> 2x = 240

=> x = 240/2

=> x = 120

opposite angles = 180° - 120° = 60°

Hence , the angles of the parallelogram are 120° , 60° , 120° and 60°.

Answer 2

$\huge\sf\pink{Answer}$

The Angles are,

☞ 60°

☞ 120°

☞ 60°

☞ 120°

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ There is a paralleogram

✭ Sum of two opposite angle of a paralleogram is 240°

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

◈ Remaining Angles?

$\rule{110}1$

$\huge\sf\purple{Steps}$

$\large\sf\star\: Diagram \: \star$

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(8.6,3){\sf\large{A}}\put(7.7,0.9){\sf\large{B}}\put(9.5,0.7){\sf{\sg\large{Base}}}\put(11.1,0.9){\sf\large{C}}\put(8,1){\line(1,0){3}}\put(11,1){\line(1,2){1}}\put(9,3){\line(3,0){3}}\put(7.7,2){\large{\sf Height}}\put(8,1){\line(1,2){1}}\put(12.1,3){\sf\large{D}}\end{picture}$

Let us the Angles to be x°

$\bullet\: \underline{\textsf{As Per the Question}}$

➝ $\sf{x + x =240^{\circ}}$

➝ $\sf{2x=240^{\circ}}$

➝ $\sf{x =\dfrac{240^{\circ}}{2}}$

➝ $\red{\sf x =120^{\circ}}$

Adjacent Angles of a parallelogram add up to 180°

Let the adjacent angle be y° and 120°

So,

➳ $\sf{ y+120=180}$

➳ $\sf{ y =(180-120)}$

➳ $\orange{\sf y =60}$

$\rule{170}3$