Question

find the value of x and y from the adjoining figure​

Answer 1

Step-by-step explanation:

In ∆ ABC,

Given that,

$\large \color{cyan} \mathcal{AB = AC}$

By isosceles property,

Angle ABC = Angle ACB = x

Hence in ∆ ABC, by angle sum property,

➡ x + x + 48 = 180°

➡ 2 x = 132

➡ x = 132/2

$\color{palegreen}\large\text \ \boxed {x = 66°}$

In ∆ ACD ,

By isosceles property,

angle DAC = angle CDA = y

In line BD,

x + angle ACD = 180° [ linear pair ]

➡ angle ACD = 180-66 = 1 1 4

In ∆ ACD, by angle sum property,

➡ 2y + 114 = 180

➡ 2y = 66

➡ y = 66/2

➡ y = 33 °

hope it helps..