Question

in the adjoining figure find the values of X and Y

Answer 1

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°

Answer 2

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.