Question

In the given figure,Find the value of X

Answer 1

Answer:

The value of x is 109°

Step-by-step explanation:

Exterior angel property :  An exterior angle of a triangle is equal to the sum of the opposite interior angles.

In ΔABC

∠CAB + ∠ACB = ∠CBD (exterior angle property)

34°+30°=∠CBD

64°=∠CBD

In ΔEBD

∠EBD+ ∠EDB = ∠CED (exterior angle property)

64°+45°=∠CED

109°=∠CBED

So, the value of x is 109°

Answer 2

Answer:

The value of x is 109°.

Step-by-step explanation:

Given: A figure.

To find the value of x.

In the given figure we can see that there are two triangles namely, ABC & BED.

Using angle sum property of triangle we have:

In ΔABC

∠CAB + ∠ACB+=180° (exterior angle property)

               ∠CBA=180°-34°+30°

               ∠CBA=116°

Now using linearity of line :

∠CBD+∠CBA=180°

          ∠CBD=64°

By Exterior angel property:  An exterior angle of a triangle is equal to the sum of the opposite interior angles.

In ΔBED

∠EBD+ ∠EDB = ∠CED (exterior angle property)

         64°+45°=∠CED

            ∠CED= 109

So, the value of x is 109°.

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