Question

7. The difference of the measures two adjacen
angles of a parallelogram is 50. Find the
measure of all its angles.
द मेजर ऑफ एन एंगल ऑफ़ अ पैरेललोग्राम इज द वर्ल्ड एंड इट्स जस्ट एन एंगल फाइंड द मेजर ऑफ इट्स ऑफ ऑल इज एंगल ​

Answer 1

Step-by-step explanation:

The measure of two adjacent angles of a parallelogram is 180.°

Difference is 50°

Let one angle be x

Other angle will be 50+x

According to question

x+50+x=180

2x+50=180

2x=180-50

2x=130

x=130÷2

x= 65°

x+50

=65+50

115°

The measure of opposite angles of parallelogram is same

Measure of angles are

65° , 115°, 65°, 115°

I hope it helped you.

Please mark it as brainliest.

Answer 2

S O L U T I O N :

$\bf{\large{\underline{\bf{Given\::}}}}}$

The difference of the measures two adjacent angles of a parallelogram is 50.

$\bf{\large{\underline{\bf{To\;find\::}}}}}$

The measures of all it's angles.

$\bf{\large{\underline{\bf{Explanation\::}}}}}$

Let the adjacent angles be r° and (r - 50)° respectively.

We know that sum of the adjacent angles of parallelogram will be 180°

A/q

$\longrightarrow\sf{r+(r-50)=180\degree}\\\\\longrightarrow\sf{r+r-50=180\degree}\\\\\longrightarrow\sf{2r-50=180\degree}\\\\\longrightarrow\sf{2r=180\degree+50\degree}\\\\\longrightarrow\sf{2r=230\degree}\\\\\longrightarrow\sf{r=\cancel{230\degree/2}}\\\\\longrightarrow\bf{r=115\degree}$

So;

• 1st angle of ||gm = r° = 115°
• 2nd angle of ||gm = (r-50)° = (115 - 50)° = 65°

We know that opposite angles are equal to parallelogram.

• 3rd angle of ||gm = 115°
• 4th angle of ||gm = 65°