Question

Find the value of x in the given figure. ​

Answer 1

Step-by-step explanation:

Construct a line CD to cut the line AB at point E.

We know that in the triangle BDE exterior angle is equal to the sum of two opposite interior angles

So we can write it as

∠CDB=∠CEB+∠DBE

By substituting the values

x

∘

=∠CEB+45

∘

.(1)

We know that in the triangle AEC exterior angle is equal to the sum of two opposite interior angles

So we can write it as

∠CEB=∠CAB+∠ACE

By substituting the values

∠CEB=55

∘

+30

∘

By addition

∠CEB=85

∘

By substituting ∠CEB in equation (1) we get

x

∘

=85

∘

+45

∘

By addition

x

∘

=130

∘

.

Answer 2

Answer:

xsedc deecdee deed d ddd