Question

An exterior angle of a triangle is of measure 125° and one of its interior opposite angles is of measure 90° .Find the measure of the other interior opposite angle.​

Answer 1

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An exterior angle of a triangle is of measure 125° and one of its interior opposite angles is of measure 90° .Find the measure of the other interior opposite angle.

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$\huge\boxed{\blue{Given :}}$

➣ An exterior angle of the triangle = 125°

➣ One interior opposite angle of an exterior angle of a triangle = 90°

$\huge\boxed{\red{To \: Find :}}$

➣ Another interior opposite angle of an exterior angle of a triangle

$\huge\boxed{\pink {Solution :}}$

➪ Let the another interior opposite angle of an exterior angle of a triangle be x

➪ By Using Exterior Angle Property of triangle

➪ Sum of interior angles of a triangle is equal to exterior angle of the triangle

➪ Exterior Angle = Sum of its interior opposite angles

⇒ 125° = 90° + x

⇒ x = 125° - 90°

⇒ x = 35°

➦ So, the measure of the another interior opposite angle of an exterior angle of a triangle is 35°

Answer 2

35° is the answer

Hope this helps You