Question

In 45° and 35° triangle two then find write a third angle. if angles are __ inch her out the value of the​

Answer 1

Corrected Question :

• In a triangle if two angles are 45° and 35° then find out the value of the third angle ?

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Given : The two angles of Triangle are 45° and 35°.

To Find : The third angle of Triangle ?

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❍ Let's consider third angle of Triangle be x

$\underline{\frak{As~ we~ know~ that~:}}$

• The sum of all angle of Triangle is 180°

Or,

• $\boxed{\sf\pink{\angle A~+~\angle B~+~\angle C~=~180^\circ}}$★

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$\underline{\bf{Now~ By ~Substituting~ the ~Given ~Values~:}}$

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$~~~~~~~~~~{\sf:\implies{45^\circ + 35^\circ + x~=~180^\circ}}$

$~~~~~~~~~~{\sf:\implies{80^\circ + x~=~180^\circ}}$

$~~~~~~~~~~{\sf:\implies{x~=~180^\circ - 80^\circ}}$

$~~~~~~~~~~:\implies{\underline{\boxed{\frak{\pink{x~=~100^\circ}}}}}$★

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Hence,

$\therefore\underline{\sf{Third~angle (\angle)~of~Triangle~is~\bf{80^\circ}}}$

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V E R I F I C A T I O N :

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$\underline{\frak{As ~we ~know ~that~:}}$

• The sum of all angle of Triangle is 180°

Or,

• $\boxed{\sf\pink{\angle A~+~\angle B~+~\angle C~=~180^\circ}}$★

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$\underline{\bf{Now~ By ~Substituting ~the ~Given ~and ~Found ~Values~:}}$

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$~~~~~~~~~~{\rm:\implies{45^\circ + 35^\circ + 100^\circ~=~180^\circ}}$

$~~~~~~~~~~{\rm:\implies{80^\circ + 100^\circ ~=~ 180^\circ}}$

$~~~~~~~~~~:\implies\boxed{\rm\pink{180^\circ = 180^\circ}}$★

$~~~~$$\qquad\quad\therefore\underline{\textsf{\textbf{Hence Verified!}}}$