Question

the value of x is.​

Answer 1

Answer:

Let all angles according to attachment.

Now ,

In △ABC

∠a +∠b +∠c =180° (angle sum property)

∠c = 180 - (30 + 34)

∠c = 180 - 64

∠c = 116°.

Now,

As, ∠c + ∠d = 180° (Linear pair)

∠d = 180 - 116

∠d = 64°.

Now,

In △CDE

∠d + ∠e + ∠f = 180° (angle sum property)

64 + 45 + ∠f = 180.

∠f = 71° .

Now,

∠f + ∠x = 180° (Linear pair)

∠x = 180 - 71

∠x = 109° .

So, value of x will be 109°.