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Explain the concept of interior and exterior angles the figure given below. Find x and y. |
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Answer» The interior angles of a triangle are the three angle elements inside the triangle. The exterior angles are formed by extending the sides of a triangle, and if the side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles. Using these definitions, we will obtain the values of x and y. From the given figure, we have ∠ACB + x = 180° (Linear pair) 75°+ x = 180° x = 105° We know that the sum of all angles of a triangle is 180° Therefore, for △ABC, we can say that: ∠BAC+ ∠ABC +∠ACB = 180° 40°+ y +75° = 180° y = 65° |
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