Question

One of the exterior angles of a triangle is 800 and its interior opposite angles are equal

to each other, what is the measure of each of these two angles?

Answer 1

GIVEN: Measure of an exterior angle = 80⁰

Let the interior opposite angles be 'x'.

Now by linear pair we can find the measure of the third angle. [GIVEN]

I.e, Measure of third angle = 180⁰ - 80⁰ = 100⁰

Now, we can find the other two interior opposite angles by Angle Sum Property.

x + x + 100⁰ = 180⁰ [A.S.P]

--> 2x = 180⁰ - 100⁰

--> x = 80/2

--> x = 40⁰

∴The measure of the two angles are 40⁰ each.