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In the given figure, angle A = 80^(@), a...

In the given figure, `angle A = 80^(@), angle B = 60^(@), angle C = 2x^(@) and angle BDC = y^(@)`. BD and CD bisect angles B and C respectively.

The values of x and y respectively are :

A

15° and 70°

B

10° and 160°

C

20° and 130°

D

20° and 125°

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • In the given figure , angle ACB = 60^(@) , angle CAB = 50^(@) and BC = BD . Find angle BDC

    A
    `35^(@)`
    B
    `60^(@)`
    C
    `45^(@)`
    D
    `50^(@)`

  • In the given figure, angle A = 60^(@) and angle ABC =80^(@) , then find angle BPC .

    A
    `40^(@)`
    B
    `45^(@)`
    C
    `20^(@)`
    D
    `30^(@)`

  • In the given figure angle CAB = 80^(@), angle CBA = 55^(@) and angle DCA = 45^(@) . The statement BD is the diameter is :

    A
    False
    B
    cannot be determined
    C
    True
    D
    Not possible
    • S CHAND IIT JEE FOUNDATION-TRIANGLES-Question Bank- 18
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    2. If CE is parallel to DB in the given figure, then the value of x will ...

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    3. If CD is parallel to AB in the given figure, then the value of x angle...

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    4. The diagram shows 2 isosceles triangles. What is the sum of a and b.

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    6. D, E, F are the mid points of BC, CA and AB of Delta ABC. If AD and B...

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    7. Consider the following statements relating to the congruency of two ri...

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    9. In Delta ABC, angle B is a right angle, AC = 6 cm, D is the mid point ...

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    11. The degree measure of each of the three angles of a triangle is an int...

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    12. In a Delta ABC right angled at B, which statement is true?

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    13. If PL , QM and RN are the altitudes of Delta PQR whose orthocentre is ...

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    14. In Delta ABC medians BE and CF intersect at G. If the straight line AG...

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    15. If the angles of a triangle are in the ratio 1:2:3, find the ratio bet...

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    16. If the angles of a triangle are in the ratio 5 : 3 : 2, then the trian...

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