Question

please answer my question​

Answer 1

EXPLANATION.

⇒ ∠BOF = 5x.

⇒ ∠EOC = 3x.

⇒ ∠AOD = 2x.

As we know that,

We can write equation as,

⇒ ∠BOF = ∠EOA [Vertically opposite angle].

⇒ ∠BOF = ∠EOA = 5x.

⇒ ∠EOC + ∠EOA + ∠AOD = 180°.

⇒ 3x + 5x + 2x = 180°.

⇒ 10x = 180°.

⇒ x = 18°.

Value of x = 18°.

Answer 2

$\bf\red{Given:-}$

$\: \: \: \: \: \bullet{ \rm \: \angle \:BOF = 5x}$

$\: \: \: \: \: \bullet{ \: \rm \angle \: AOF = 2x}$

$\: \: \: \: \: \bullet{ \: \angle \rm \: EOC = 3x}$

$\bf\red{Find:-}$

• Find the value of x

$\bf\red{Solution:-}$

☼Now,

$\dashrightarrow\sf\fbox{Vertically opposite angle}$

☼So,

$\sf\longmapsto{ \angle \: EOC + \angle AOD + \angle BOF=180°}$

$\sf \longmapsto{ 3x + 2x + 5x = 180°}$

$\sf \longmapsto{5x + 5x = 180°}$

$\sf \longmapsto {10x = 180°}$

$\sf\longmapsto { \frac{18 \cancel{0}}{1 \cancel{0}} }$

$\sf\longmapsto\fbox \red{x = 18°}$

$▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬$

$\bf\red{More \: importance:-}$

• Exterior angle of a triangle is equals to sum of interior opposite angles.

• Side opposite to greater angle is always longest

• Angle opposite to equal sides are equal.

• Angle opposite to longest side is always greater.

@Shivam

#BeBrainly