Question

if an exterior angle of a triangle is 1200 and one of the interior opposite angle is 50 degree . find the other interior opposite angle

Answer 1

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Given Information :

• An exterior angle of triangle is 120°.

• One of the interior opposite angle is 50°.

To calculate :

• Measure of the other interior opposite angle.

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Clarification :

Here, we are given that the measure of the exterior angle of a triangle is 120° and one of of the interior opposite angle is 50°. We are asked to find the measure of the other interior opposite angle.

In order to solve this problem, we have to apply the exterior angle property of a triangle. According to the exterior angle property of a triangle, the sum of two interior opposite angles of a triangle is equivalent to the measure of exterior angle of the triangle.

So, let's commence the steps!

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Explication of steps :

We have,

• Measure of the exterior angle of triangle = 120°_(1)
• Measure of one of the interior opposite angle = 50°_(2)

As we know that,

➝ Exterior angle of ∆ = Sum of two interior opposite angles

➝ 120° = 50° + Another interior opposite angle

➝ 120° ― 50° = Another interior opposite angle

$\longmapsto \underline { \boxed{ \sf{ 60^\circ= {Interior \: opposite \: \angle}_{(Another)} }}} \: \bigstar$

Therefore, the other interior opposite angle of the triangle is 60°.

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