Question

In triangle ABAngle A= 55° , Angle B = 75° find angle C

Answer 1

Angle A=55°

Angle B=75°

Sum of all angles of a triangle is 180°

Angle A+Angle B+Angle C=180°

55°+75°+Angle C=180°

Angle C=180-130

Angle C=50°

Answer 2

${\mathbf {\blue{S}{\underline{\underline{olution:-}}}}}$

$\mathfrak{\underline{AnswEr:-}}$

• The required value of Angle C = 50°

$\mathfrak{\underline{Given:-}}$

• Angle A = 55°
• Angle B =75°

$\mathfrak{\underline{Need\:To\: Find:-}}$

• The required value of Angle C = ?

${\mathbf {\blue{E}{\underline{\underline{xplanation:-}}}}}$

$\:\:\:\:\dag\bf{\underline \green{We\:know\:that:-}}$

$\bigstar \: \boxed{ \sf \: Sum\:of\:all \:angles\: of\: a \:triangle \:is \: 180\degree }$

$\dag\bf{\underline{\underline \blue{Then:-}}}$

$\sf\underline{\purple{\:\:\: A + B + C = 180\degree\:\:\:}}$

$\longrightarrow \sf {55\degree + 75\degree + C = 180\degree}$

$\longrightarrow \sf {130\degree + C = 180\degree}$

$\longrightarrow \sf {C = 180\degree - 130\degree}$

$\longrightarrow \sf {C = 50\degree}$

$\:\:\:\:\dag\bf{\underline{\underline \pink{Hence:-}}}$

• The required value of Angle C is 50°

$\rule{200}{2}$