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In A B C ,\ /B=45^0,\ /C=55^0 and bisec...

In ` A B C ,\ /_B=45^0,\ /_C=55^0` and bisector of `/_A` meets `B C` at a point `Ddot` Find `/_A D B\ a n d\ \ /_A D C`

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To solve the problem step by step, we will find the angles \( \angle ADB \) and \( \angle ADC \) in triangle \( ABC \) where \( \angle B = 45^\circ \) and \( \angle C = 55^\circ \). ### Step 1: Find \( \angle A \) Using the triangle angle sum property, we know that the sum of angles in a triangle is \( 180^\circ \). \[ \angle A + \angle B + \angle C = 180^\circ \] ...
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RD SHARMA-TRIANGLE AND ITS ANGLES-All Questions
  1. In Figure, T Q\ a n d\ T R are the bisectors of /Q\ a n d\ /R respecti...

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  2. In Figure, m\ and\ n are two plane mirrors perpendicular to each oth...

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  3. In A B C ,\ /B=45^0,\ /C=55^0 and bisector of /A meets B C at a point...

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  4. A ,B ,C , are three angles of a triangle. If A-B=15^@,B-C=30^@, find /...

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  5. In a A B C , if /A=55^0,\ /B=40^0, find /C

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  6. If the angles of a triangle are in the ratio 1:2:3, determine three...

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  7. The angles of a triangle are (x-40)^0,\ (x-20)^0\ a n d\ (1/2x-10)^...

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  8. The angle of a triangle are arranged in ascending order of magnitud...

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  9. Two angles of a triangle are equal and the third angle is greater t...

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  10. If one angle of a triangle is equal to the sum of the other two, sh...

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  11. A B C is a triangle in which /A=72^0, the internal bisectors of ang...

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  12. The bisectors of base angles of a triangle cannot enclose a right a...

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  13. If the bisectors of the base angles of a triangle enclose an angle ...

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  14. In a A B C ,\ /A B C=\ /A C B and the bisectors of /A B C\ a n d\ /A ...

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  15. Can a triangle have: Two right angles? (ii) Two obtuse angles? Two acu...

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  16. If each angle of a triangle is less than the sum of the other two, ...

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  17. An exterior angle of a triangle is 110^0, and one of the interior ...

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  18. The sides B C ,\ C A\ a n d\ A B\ of a A B C , are produced in order...

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  19. In Figure, if Q T|P R ,\ /T Q R=40^0\ a n d\ \ /S P R=30^0, find x\ a ...

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  20. In Figure, side Q P\ a n d\ R Q of P Q R are produced to point S\ a n...

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