Question

urgent help plzzzzzzzzz ​

Answer 1

AnswEr :-

Given: -

Interior angles of a Traingle are in the ratio of 1:2:3.

So, Let's consider that the angles of the triangle be 1x, 2x & 3x.

Using Angle sum property of Triangle

$\longrightarrow\sf 1x + 2x + 3x = 180^{\circ} \\\\\\\longrightarrow\sf 6x = 180^{\circ} \\\\\\\longrightarrow\sf x = \cancel\dfrac{180}{6} \\\\\\\longrightarrow\sf \boxed{\frak{\purple{x = 30^{\circ}}}}$

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$\longrightarrow\sf First \ angle = 30^{\circ}\\\\\\\longrightarrow\sf Second \ angle = 30 (2) = 60^{\circ} \\\\\\\longrightarrow\sf Third \ angle = 30 (3) = 90^{\circ}$

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$\bigstar$ Exterior Angles are :

$\longrightarrow\sf 180 - 30\\\\\\\longrightarrow\sf\pink{150^{\circ}}\\\\\\\longrightarrow\sf 180 - 60\\\\\\\longrightarrow\sf\blue{120^{\circ}}\\\\\\\longrightarrow\sf 180 - 90\\\\\\\longrightarrow\sf\purple{90^{\circ}}$

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$\bigstar$ Ratio of its exterior angles :

150 : 120 : 90 Dividing by 30°

$\qquad\qquad\boxed{\sf{\red{\: Ratio \ is \ 5 : 4 : 3 \: }}}$

Answer 2

given :-

• Interior angles of a Traingle are in the ratio of 1:2:3.

So, Let's consider that the angles of the triangle be 1x, 2x & 3x.

Using Angle sum property of Triangle

$\begin{gathered}\longrightarrow\tt 1x + 2x + 3x = 180^{\circ} \\\\\\\longrightarrow\tt 6x = 180^{\circ} \\\\\\\longrightarrow\tt x = \cancel\dfrac{180}{6} \\\\\\\longrightarrow\tt \boxed{\frak{\red{x = 30^{\circ}}}}\end{gathered}$

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$\begin{gathered}\longrightarrow\tt First \ angle = 30^{\circ}\\\\\\\longrightarrow\tt Second \ angle = 30 (2) = 60^{\circ} \\\\\\\longrightarrow\tt Third \ angle = 30 (3) = 90^{\circ}\end{gathered}$

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★ Exterior Angles are :

$\begin{gathered}\longrightarrow\tt 180 - 30\\\\\\\longrightarrow\tt\orange{150^{\circ}}\\\\\\\longrightarrow\tt 180 - 60\\\\\\\longrightarrow\tt\green{120^{\circ}}\\\\\\\longrightarrow\tt 180 - 90\\\\\\\longrightarrow\tt\pink{90^{\circ}}\end{gathered}$

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★ Ratio of its exterior angles :

150 : 120 : 90 Dividing by 30°

$\qquad\qquad\boxed{\tt{\blue{\: Ratio \ is \ 5 : 4 : 3 \: }}}$