Question

one of the exterior angle of a triangle abc measure 150degree. if one of the interior opposite angle is 75degree. find the other interior opposite angle. what type of triangle is this

Answer 1

let the angle be x
150=75+x (exterior angle property)
75=x


this is isosceles triangle because two angles are equal so there opposite sides are also equal.

Answer 2

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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$\sf{\underline{\green{AnswEr:-}}}$

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• The other interior opposite angle = 75°

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$\sf{\underline{\green{Given:-}}}$

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• One of the exterior angle of a ∆ABC measures 150°. If one of the interior opposite angle is 75°.

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$\sf{\underline{\green{Find:-}}}$

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• The other interior opposite angle = ?

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$\sf{\underline{\green{Explanation:-}}}$

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$\sf{\underline\pink{A.T.Q:-}}$

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$\longrightarrow \sf {\angle ACD = \angle A + \angle B}$

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$\longrightarrow \sf {150\degree = \angle A + 75\degree }$

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$\longrightarrow \sf {\angle A = 150\degree - 75\degree}$

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$\longrightarrow{\underline{\boxed{\sf{\angle A = 75\degree}}}}$

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$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

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• The other interior opposite angle is 75°.

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$\:\:\:\:\dag\bf{\underline{\underline \red{And:-}}}$

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• It is an Isosceles Triangle because a triangle whose two sides are equal in length is called an Isosceles Triangle.

$\rule{200}{2}$