Question

Find the value of x.

Answer 1

Therefore the value of
`x=31\°`

Explanation:

Given:

m∠ A = 56°

m∠ B = 75°

m∠ ACD = x°

To Find:

x = ?

Solution:

In Δ ABC

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Here,

The opposite interior angles are angle A and angle B.

An exterior angle of a triangle is angle ACD which is x°

∴
`m\angle A +m\angle B=m\angle ACD\\`...Exterior angle property of Δ

Substituting the values we get

`56+75=x\\\\\therefore x=131\°`

Therefore the value of
`x=31\°`