Question

find the value of x in the triangle show below​

Answer 1

ANSWER : ∠x=102°

EXPLANATION :

Given:

• AB=BC=3.3cm $\underbrace{so\: ABC\: is \:a\: isosceles\: triangle }$
• AC= 5.1 cm
• $\angle{BAC}$= 39°

To find:

$\angle{x}$=?

Some important points:

• The triangles having two equal sides are called isosceles Triangles.
• In isosceles triangles, angles opposite to equal sides are also equal.
• The sum of interior angles of a triangle is 180°.

So,

In ∆ABC,

AB=BC

∠BAC=∠BCA=39°

By angle sum property,

∠BAC+∠BCA+∠x=180°

39+39+∠x=180°

78+∠x=180°

∠x=180-78

∴∠x=102°

$\textit{Thankyou!}$