Question

please answer by solving​

Answer 1

⇝Given :

• Angle A + Angle B = 65°
• Angle B + Angle C = 140°

￣￣￣￣￣￣￣￣￣￣￣￣

⇝To Find :

• Angle B = ?

￣￣￣￣￣￣￣￣￣￣￣￣

⇝Solution :

❒Remember that :

Sum of 3 angles of a triangle = 180°

❒Here,

»»»Angle A + Angle B = 65°

»»»Angle B + Angle C = 140°

❒Than,

${\twoheadrightarrow{\sf{Angle \: A + Angle \: B + Angle \: B + Angle \: C = 65° + 140°}}}$

${\twoheadrightarrow{\sf{Angle \: A + Angle \: B + Angle \: B + Angle \: C = 205°}}}$

${\twoheadrightarrow{\sf{(A + B + C) + B = 205°}}}$

${\twoheadrightarrow{\sf{180° + B = 205°}}}$

${\twoheadrightarrow{\sf{Angle \: B = 205° - 180°}}}$

${\large{\red{:{\mapsto{\underline{\boxed{\bf{ 25°}}}}}}}}$

❒Hence,

Angle B = 25°

${\red{\underline{\purple{\underline{\green{\boxed{\mathfrak{D (d) \: option \: is \: correct.}}}}}}}}$

￣￣￣￣￣￣￣￣￣￣￣￣

Answer 2

$⇝Given :</p><p></p><p>Angle A + Angle B = 65°</p><p></p><p>Angle B + Angle C = 140°</p><p></p><p>￣￣￣￣￣￣￣￣￣￣￣￣</p><p></p><p>⇝To Find :</p><p></p><p>Angle B = ?</p><p></p><p>￣￣￣￣￣￣￣￣￣￣￣￣</p><p></p><p>⇝Solution :</p><p></p><p>❒Remember that :</p><p></p><p>Sum of 3 angles of a triangle = 180°</p><p></p><p>❒Here,</p><p></p><p>»»»Angle A + Angle B = 65°</p><p>»»»Angle B + Angle C = 140°</p><p></p><p>❒Than,</p><p></p><p>{\twoheadrightarrow{\sf{Angle \: A + Angle \: B + Angle \: B + Angle \: C = 65° + 140°}}}↠AngleA+AngleB+AngleB+AngleC=65°+140°</p><p>{\twoheadrightarrow{\sf{Angle \: A + Angle \: B + Angle \: B + Angle \: C = 205°}}}↠AngleA+AngleB+AngleB+AngleC=205°</p><p>{\twoheadrightarrow{\sf{(A + B + C) + B = 205°}}}↠(A+B+C)+B=205°</p><p>{\twoheadrightarrow{\sf{180° + B = 205°}}}↠180°+B=205°</p><p>{\twoheadrightarrow{\sf{Angle \: B = 205° - 180°}}}↠AngleB=205°−180°</p><p>{\large{\red{:{\mapsto{\underline{\boxed{\bf{ 25°}}}}}}}}:↦25°</p><p></p><p>❒Hence,</p><p></p><p>Angle B = 25°</p><p>{\red{\underline{\purple{\underline{\green{\boxed{\mathfrak{D (d) \: option \: is \: correct.}}}}}}}}D(d)optioniscorrect.</p><p></p><p>￣￣￣￣￣￣￣￣￣￣￣￣</p><p></p><p>$