Question

The two interior opposite angles of an exterior angle of a triangle are 65° and 45°.Find the measure of the exterior angle.​

Answer 1

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The two interior opposite angles of an exterior angle of a triangle are 65° and 45°.Find the measure of the exterior angle.

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

➣ One interior opposite angle of an exterior angle of a triangle = 65°

➣ Another interior opposite angle of an exterior angle of a triangle = 45°

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

➣ Measure of the exterior angle of the triangle

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

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

➪ Exterior Angle = Sum of its interior opposite angles

⇒ Exterior Angle = 65° + 45°

⇒ Exterior Angle = 110°

➦ So, the measure of the exterior angle of the triangle is 110°