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3 years ago

Find the value of x.

Mathematics

1 answer:

Leokris [45]3 years ago

8 0

Answer:

Therefore the value of $x=31\°$

Step-by-step 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 $x=31\°$

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