Question

one of the exterior angle is of a triangle is 80,and the interior opposite angle are equal to each other . what is the measure of each of these two angles?​

Answer 1

Answer:

40 degrees each

Step-by-step explanation:

As the sum of two interior opposite angles is equal to the exterior angle (exterior angle property)

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Answer 2

40⁰

∠BAC,∠ABC

Solution: By exterior angle sum property of triangle, we have

∠BCO=∠BAC+∠ABC

⇒80⁰ =x⁰ +x⁰

⇒80⁰ =2x⁰

⇒x⁰ =(80/2⁰)

⇒x⁰=40⁰

∴∠BAC=∠ABC=40⁰