Question

In a polygon the outer angle at one vertex is 3 times the inner angle at that vertex.find the angle​

Answer 1

Answer:

The outer angle will be 135°.

The outer angle will be 135°.The inner angle will be 45°.

Explanation:

Let the inner angle be x,

Let the inner angle be x,Then the outer angle will be 3x.

Let the inner angle be x,Then the outer angle will be 3x.Outer angle + inner angle = 180° {Linear Pair(because it will be a straight line)}

Hence,

$3x + x = {180}^{o}$

$4x = {180}^{o}$

$x = {180}^{o} \div 4$

$x = {45}^{o}$

3x = 3 × 45° = 135°

x = 45°

Hence,

3x = 135°

x = 45°

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