Question

FIND THE VALUE OF X IN EACH OF THE FOLLOWING.

PLEASE ANSWER IT
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OTHERWISE THE ANSWER AND ACCOUNT WILL BE REPORTED. ​​

Answer 1

${\underline{\underline{\maltese\textbf{\textsf{\red{Solution~(i)~-~}}}}}}$

${\sf\bold{Its~a~reflex~angle~=~360°}}$

${\sf\bold{x~+~60~+~40~+~100~+~75~+~45~=~360}}$

${\sf\bold{320~+~x~=~360}}$

$\green{\sf\bold{x~=~40°}}$

${\underline{\underline{\maltese\textbf{\textsf{\red{Solution~(ii)~-}}}}}}$

${\sf\bold{x~+~45~+~40~+~75~+~30~+~85~=~360}}$

${\sf\bold{x~+~275~=~360}}$

$\green{\sf\bold{x~=~85°}}$

Answer 2

Answer:

• (i) 40°
• (ii) 85°

Step-by-step explanation:

In the figure (i) :-

• Sum of angles around a point = 360°

⇒ x + 60° + 40° + 100° + 75° + 45° = 360°

⇒ x + 100° + 100° + 120° = 360°

⇒ x + 200° + 120° = 360°

⇒ x + 320° = 360°

⇒ x = 360° - 320°

∴ x = 40°

In the figure (ii) :-

• Sum of angles around a point = 360°

⇒ x + 45° + 40° + 75° + 30° + 85° = 360°

⇒ x + 85° + 105° + 85° = 360°

⇒ x + 170° + 105° = 360°

⇒ x + 275° = 360°

⇒ x = 360° - 275°

∴ x = 85°