Math, asked by 471599juju, 3 days ago

one of the exterior angles of a triangle is 80°and the interior angles opposite to it are equal to each other. what is the measure of these 2 triangles?​

Answers

Answered by sapnagharami1706
5

Answer:

Let the interior angle be x

Exterior angle is the sum of interior opposite angles

∴x+x=80°

⇒2x=80°

⇒x = 80° /2°

=> x = 40°

Hence, the interior angles is 40°

Answered by eeepathshala
0

Answer:

40°

Step-by-step explanation:

in a triangle ABC,

let, exterior angleC= 80°

then, by the linear pair of angles,

interior angleC = 180°- exterior angleC

so, interior angleC= 180°-80°

=100°

Now, According to question, angle opposite to this angle are equal to each other, Let they are =x

so \:  \:  \angle \: a + \angle \: b+\angle \: c  = 180  \degree \\ x + x + 100 \degree \:  =  \: 180 \degree \\ 2x = 180 \degree - 100 \degree \\ x =  \frac{80 \degree}{2}  \\ x = 40 \degree \\ so \:  \:  \angle \: a =  \angle \: b = 40 \degree

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