Math, asked by ananya7541, 11 months ago

in the adjoining figure find the values of X and Y

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Answers

Answered by Aditya1510
80

Answer:

x=15°

y=41°

Step-by-step explanation:

(2x+5)°=35°

2x=(35-5)°

2x=30°

x=15°

(y+5)°=46°

y=(46-5)°

y=41°


ananya7541: 46-5 =41
ananya7541: but thanks for your guide
Answered by ankhidassarma9
12

Answer:

In the adjoining figure, the values of X = 15 ° and Y = 41°

Step-by-step explanation:

Let the given Quadrilateral be ABCD, where

  • AB = BC [given in the picture]
  • CD = DA [given in the picture]
  • ∠ABD = (y + 5)°
  • ∠ADB = 35°
  • ∠CBD = 46°
  • ∠CDB = (2x + 5)°

According to the given picture, ΔABD and Δ BCD are congruent , as ,

  • AB = BC [given in the picture]
  • CD = DA [given in the picture]
  • BD is  common for both the triangle,

Hence using Side-Side-Side (SSS) Criterion of congruency, we can write

ΔABD ≅ Δ BCD

  • ∠ABD = ∠CBD     [CPCT rule]

       So, (y+5)°=46°

           ⇒  y = (46-5)°

           ⇒  y = 41°

  • ∠ADB = ∠CDB       [CPCT rule]

      So, (2x+5)° = 35°

         ⇒ 2x=(35-5)°

         ⇒  2x=30°

         ⇒  x=15°

  • Side-Side-Side (SSS) Criterion of congruency : Consider two triangles, if the three sides of one triangle are equal to the corresponding three sides (SSS) of the other triangle, then these two triangles are called congruent.

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