Question

Plz solve sum no. 17​

Answer 1

Answer:

angle 1 and3 are of 48° vertically opposite Angle

angle1 +angle4=180° linear pair

48°+x=180

x=180°-48°

x=132°

angle4 =132°

angle2=angle4=132° vertically opposite Angle

Answer 2

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❥ Given :

$\angle \: 1 = 48°$

❥ To find :

$\angle \: 2, \: \angle \: 3, \: \angle \:4$

❥ Solution :

➜ $\angle \:2$ :-

Since, BD is a straight line,

→ $\angle \: AOB + \angle \: AOD = 180°$

→ $\angle \: 1 + \angle \:2 = 180°$

→ $48° + \angle \:2 = 180°$

→ $\angle \:2 = 180° - 48°$

→ $\angle \:2 = 132°$

➜ $\angle \:3$ :-

→ $\angle \:3 = \angle \: 1 \: \: \: [Vertically \: opposite \: angle]$

→ $\angle \:3 = 48°$

➜ $\angle \: 4$ :-

→ $\angle \:4 = \angle \:2 \: \: \: [Vertically \: opposite \: angle]$

→ $\angle \:4 = 132°$

$\implies \textbf {Hence, the measure of all angles are }$ :

➛ $\angle \:1 = 48°$

➛ $\angle \:2 = 132°$

➛ $\angle \:3 = 48°$

➛ $\angle \:4 = 132°$

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