Question

The exterior angle and one interior opposite angle of each triangle are 115 degree, 35 degree . Find the other two interior angles of the triangle
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Answer 1

Given : The Exterior Angle of a Vertex of a Triangle is 115°

We know that : The Exterior Angle of a Vertex of a Triangle and the Corresponding Interior Angle make a Linear Pair (i.e. 180°)

⇒ 115° + Corresponding Interior Angle = 180°

⇒ Corresponding Interior Angle = 180° - 115°

⇒ Corresponding Interior Angle = 65°

We know that : Sum of Interior Angles in a Triangle is equal to 180°

Given : One of the Interior Angle : 35°

⇒ Other Interior Angle + 35° + 65° = 180°

⇒ Other Interior Angle + 100° = 180°

⇒ Other Interior Angle = 180° - 100°

⇒ Other Interior Angle = 80°

So, The Other Two Interior Angles are 80° and 65°