Math, asked by humahaqqani392, 24 days ago

one angle of triangle abc is 50 degree and the other two angles are equal. find the measure of other two angles​

Answers

Answered by Anonymous
38

Given :

  • 1st angle of Triangle = 50°
  • Other two angles are equal .

 \\ \\

To Find :

  • Measure of the two angles = ?

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SolutioN :

~ We Know That :

  •  {\underline{\boxed{\pmb{\sf{ Sum \; of \; Angles{\small_{(Triangle)}} = 180° }}}}}

Here :

  • ➳ ∠1 = 50°
  • ➳ ∠2 =
  • ➳ ∠3 =

 \\ \qquad{\rule{150pt}{1pt}}

~ Calculating the Other angles :

 {\twoheadrightarrow{\qquad{\sf{ 50° + z° + z° = 180° }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 50° + 2z° = 180° }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 2z° = 180° - 50° }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 2z° = 130° }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ z = \dfrac{130}{2} }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ z = \cancel\dfrac{130}{2} }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\red{\pmb{\frak{ z = 65° }}}}}}}}

 \\ \qquad{\rule{150pt}{1pt}}

~ Therefore :

❛❛ Other two angles of the Triangle are 65° . ❜❜

 \\ {\underline{\rule{300pt}{9pt}}}

Answered by srijannaiya
5

answer

other two angles are 65°

Step-by-step explanation:

2X+50=180

2X=130

X=65°

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