Question

Two angles of a triangle measures 45 degree and 80 degree find the third angle

55 degree

65 degree

105 degree

125 degree

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Answer 1

Step-by-step explanation:

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Answer 2

$\implies \huge \sf \underline \blue{Answer}$

$\huge\sf{ \boxed{ \underline{ \underline{ \purple{ \sf{55 \: }}}}}}$

$\implies \huge \sf \underline \red{Given : }$

• Two angles of a triangle measures 45 degrees and 80 degrees. find the third angle..

$\implies \huge \sf \underline \pink{To \: find : }$

• third angle

$\implies \huge \sf \underline \pink{solution : }$

Given,

• First angle is 45

• second angle is 80

• third angle ?

we know that sum of angle

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf{ \boxed{ \underline{ \underline{ \red{ \bf{sum \: of \: angles \: = 180 \: }}}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{let \: the \: third \: angle \: be \: x}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = 45 + 80 + x = 180}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ x + 125 = 180}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{x = 180 - 125}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{x = 55}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \underline \red{third \: angle \: is \: 55}$