Question

One of the angles of a triangle has measures 100°and the other two are equal. Find these angles​

Answer 1

Answer:

The sum of all angles of a triangle is 180 degree. One of the angles of the triangle is 100 degree. Therefore each of the two angles would be 40°

Answer 2

Given :

• 1st angle of the Triangle = 100°
• Other two angles are equal.

To Find :

• The two angles = ?

Solution :

$\bigstar$ We Know That :

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

Where :

• ➳ ∠1 = 100°
• ➳ ∠2 = y°
• ➳ ∠3 = y°

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$\bigstar$ Calcuting the Angles :

${\twoheadrightarrow{\qquad{\sf{ ∠1 + ∠2 + ∠3 = 180° }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 100° + y° + y° = 180° }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 100° + 2y° = 180° }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 2y° = 180° - 100° }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ 2y° = 80° }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ y = \dfrac{80}{2} }}}} \\ \\ \\ \ {\twoheadrightarrow{\qquad{\sf{ y = \cancel\dfrac{80}{2} }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\red{\pmb{\frak{ y = 40° }}}}}}}}$

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$\bigstar$ Therefore :

❛❛ 2nd and 3rd angle of the Triangle are 40° . ❜❜

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