Question

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

Answer 1

Step-by-step explanation:

Let the angles be X and 3x

Now, We know that sum of two inner and outer angle of one vertex is 360°

So,

$x + 3x = 360 \\ = > 4x = 360 \\ = > x = \frac{360}{4} \\ = > x = 90$

So inner angle = 90°

Outer angle = 3×90° = 270°

Om Namah Shivaya

Debasish Biswal