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Each base angle of an isosceles triangle...

Each base angle of an isosceles triangle is `15^(@)` more than its vertical angle. Find each angle of the triangle.

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ICSE-PROPERTIES OF TRIANGLES-Exercise 18A
  1. In a DeltaPQR, if /P=90^(@) and /Q=/R, find the measures of each of th...

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  2. The angles of a triangle are in the ratio 3:5:4. Find the measure of ...

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  3. One of a angle triangle measures 30^(@) and the other two angles are i...

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  4. In a right-angled triangle, the two acute angles are in the ratio 4:5....

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  5. One of the two equal angles of an isosceles triangle measures 65^(@). ...

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  6. Find the measures of each of the two equal angles of an isosceles righ...

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  7. If all three angles of a triangle are of the same measure, find the me...

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  8. In a right-angled triangle if one of the acute angles ,measures 40^(@)...

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  9. Find the unknown angles marked in each of the following figures :

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  10. In each of the following figures, one side of a triangle has been prod...

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  11. Calculate the size of each lettered angle in the following figures :

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  12. Use the given figure to express : (i) a in terms of b and f, (ii) ...

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  13. (i) In the given figure, DeltaABC is an isosceles triangle in which AB...

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  14. In the given figure, AB||CD. The line segments BC and AD intersect at ...

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  15. Each base angle of an isosceles triangle is 15^(@) more than its verti...

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  16. The vertical angle of an isosceles triangle is twice the sum if its ba...

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  17. In an isosceles triangle, each base angle is four times its vertical a...

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  18. The ratio between the base angle and the vertical angle of an isoscele...

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  19. In the given figure, DeltaABC is an equilateral triangle whose side BC...

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  20. Find the unknown marked angles in each of the following figures :

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