Question

an exterior angle of a triangle is 110 and its two interior opposite angles are equal. find each of these equal angle​

Answer 1

Answer:

angle 1 = 70 degree

angle 2 = angle 3 = 55 degree

Step-by-step explanation:

given,

exterior angle of one angle = 110

and even given that,

the other two angles are equal

so,

the one angle = 180-110

                        = 70 degree

the other two angles = 180 - 70/2 (since sum of all angles of a triangle = 180)

= 110/2

= 55 degree

therefore,

angle 1 = 70 degree

angle 2 = angle 3 = 55 degree

Answer 2

Answer:

The measure of each equal angle (x) is 35 degree

Step-by-step explanation:

Let each of the interior angle be 'x'

Since an exteriorr angle is equal to the sum of its two opposite angles.

Therefore, x + x = 110

2x = 110

So, x = 110 ÷ 2

= 35 degree

Hence, the measure of each equal angle (x) is 35 degree.

I hope this helps you.

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