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stiks02 [169]
3 years ago
10

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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