Question

The exterior angle of a triangle is 130°. If one of the interior opposite angle is 75°, find the other. ​

Answer 1

Answer:

We have the property of exterior and interior angles,

Exterior angle is equal to the sum of interior opposite angles.

From triangle ABC is figure above,

∠ACD=∠ABC+∠BAC

Let, ∠ABC=60

∘

∠ACD=130

∘

∴130

∘

=60

∘

+∠BAC

∠BAC=130

∘

−60

∘

=70

∘

This is the value of the other opposite angle.

Step-by-step explanation:

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