Question

please solve this question​

Answer 1

Step-by-step explanation:

∠POD + ∠DOC + ∠COR = 180°.... linear pair angles

x+1 + x + x+1 = 180°

3x+2 = 180°

3x = 180 - 2

3x = 178

x = 178/3

x = 59.33°

Answer 2

$\sf{\large{\pink{\underline{Given:-}}}}$

• POR is a straight line.
• ∠POD = (x + 1)°
• ∠DOC = x°
• ∠COR = (x + 1)°

$\sf{\large{\blue{\underline{To\:find:-}}}}$

Value of x

$\sf{\large{\orange{\underline{Answer:-}}}}$

∠POD + ∠DOC + ∠COR = 180° [total angle in a straight line is 180°]

$⇒$ x + 1 + x + x + 1 = 180

$⇒$ 3x + 2 = 180

$⇒$ 3x = 178

$⇒$ x = 178/3

$⇒$ x = 59.33

$\sf{\red{\boxed{\boxed{∠POD\: =\: (x\: +\: 1)°\: =\: (59.33\: +\: 1)°\: = \:60.33°}}}}$

$\sf{\red{\boxed{\boxed{∠DOC \:= \:x°\: =\: 59.33°}}}}$

$\sf{\green{\boxed{\boxed{∠COR\: = \: (x\: +\: 1)° \:=\: (59.33 \:+ \:1) \:= \:60.33°}}}}$