Question

an exterior angle of a triangle is of measure 130° and one of its interior opposite angles is of measure 70° find the measure of the other interior opposite angle


plz answer fast and explain step by step​

Answer 1

IMAGE IS ATTACHED FOR CLEAR UNDERSTANDING

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.

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