Question

the two adjacent side of a parallelogram are in ratio 4:5 find the measure of each of it's angal​

Answer 1

$\huge \frak{ \underline{ \overline{ \mid \pink{Given:}}}} \mid$

● Ratio of adjacent angles of a parallelogram = 4 : 5

$\huge \frak{ \underline{ \overline{ \mid \pink{To\;Find:}}}} \mid$

●  Measure of each angle

$\huge \frak{ \underline{ \overline{ \mid \pink{Solution:}}}} \mid$

● As we know that ,

◈ Adjacent angles of a parallelogram are supplementary ◈

●  The angles will be

   4x and 5x

● 4x°  + 5x° = 180°

● Let's solve now !!

→  4x° + 5x° = 180°

→   9x° = 180

$\sf \rightarrow x = \dfrac{180}{9}$

→ x = 20°

● Angles will be :

  4x° = 4 × 20 = 80°

  5x° = 5 × 20 = 100°

∴ The angles are 80° and 100°

_____________

All Done ! :D

Answer 2

ʟᴇᴛ , ᴍᴇᴀꜱᴜʀᴇꜱ ᴏꜰ ᴛʜᴇ ᴀɴɢʟᴇꜱ ᴏꜰ ᴛʀɪᴀɴɢʟᴇ ʙᴇ

4xᐤ , 5xᐤ .

❥ 4xᐤ + 5xᐤ = 180ᐤ

❥ 9xᐤ = 180ᐤ

❥ x = 180/9

❥ x = 20ᐤ

ʜᴇɴᴄᴇ , ᴍᴇᴀꜱᴜʀᴇ ᴏꜰ ᴇᴀᴄʜ ᴀɴɢʟᴇꜱ ᴀʀᴇ :-

4x ᐤ = 4 × 20

= 80ᐤ

5xᐤ = 5 × 20

= 100ᐤ

∴ ᴛʜᴇ ᴀɴɢʟᴇꜱ ᴀʀᴇ :- 80ᐤ & 100ᐤ.