Question

lines and angle base question

Answer 1

ᴏᴋ ᴅᴜᴅᴇ
130°+y=180°
y=50°
ᴇxᴛᴇɴᴅ ᴛꜱ ꜱᴛʀᴀɪɢʜᴛ ᴛᴏ ᴍ
ᴀɴɢʟᴇ ᴏꜱᴛ+ ᴀɴɢʟᴇ ᴏꜱᴍ= 180°
85°+ ᴀɴɢʟᴇ ᴏꜱᴍ=180°
ᴀɴɢʟᴇ ᴏꜱᴍ=95°
ᴀɴɢʟᴇ ᴏꜱᴍ ᴀɴᴅ x ꜰᴏʀᴍꜱ ᴄᴏʟɪɴᴇᴀʀ ᴀɴɢʟᴇꜱ
ᴀɴɢʟᴇ ᴏꜱᴍ+ x= 180°
95°+x=180°
x=85°
x+y=85°+50°
=135°

Answer 2

$\textbf{Heya}$

$\textbf{Given :-}$

PQ || ST

/_ PQR = 130°

/_ TSO = 85°

/_ OQR = x

/_ QOS = y

$\textbf{To find :-}$

x + y = ?

$\textbf{Solution :-}$

/_ PQR + /_OQR = 180° (Linear pair)

130° + x = 180°

x = 180° - 130°

$\textbf{x = 50°}$

Now,

PQ || ST

/_ TSO = /_ SOQ (Alternate interior angles)

85° = y

$\textbf{y = 85°}$

Now,

x + y = 50° + 85°

$\textbf{x + y = 135°}$

$\textbf{Hope this helps you.}$