Tick the correct answer in the following? The interior angle of a… - Vidyadip

MCQ

Tick the correct answer in the following? The interior angle of a regular polygon exceeds its exterior angle by $108^\circ .$ How many sides does the polygon have?

A
$16$
B
$14$
C
$12$
✓
$10$

✓

Answer

Correct option: D.

$10$

Each exterior angle of a regular polygon $=\frac{360}{\text{n}}$
Each interior angle of a regular polygon $=180-\frac{360}{\text{n}}$
$180-\frac{360}{\text{n}}-108=\frac{360}{\text{n}}$
$\frac{720}{\text{n}}=180-108=72$
$\text{n}=\frac{720}{72}=10$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Polygons→Polygons — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Tick $(\checkmark)$ the correct answer in the following: Ravi buys some toffees at $5$ for a rupee and sells them at $2$ for a rupee. His gain percent is:

Tick the corect answer in the following: The equation representing the $y-$axis is

The maximum length of a pencil that can be kept in a rectangular box of dimensions $12\ cm \times 9\ cm \times 8\ cm,$ is:

Tick $(\checkmark)$ the correct answer: $x^2-x z+x y-y z=?$

Tick $(\checkmark)$ the correct answer the following: What should be added to $\frac{-5}{7}$ to get $\frac{-2}{3}$?

Tick the correct answer in the following: A bag contains $3$ white and $2$ red balls. One ball is drawn at random. What is the probability that the ball drawn is red?

Tick $(\checkmark)$ the correct answer of following. If $x\ 4y\ 5z$ is exactly divisible by $9,$ then the least value of $(x + y + z)$ is:

Cube of $\frac{-1}{2}$ is:

Tick $(\checkmark)$ the correct answer the following: $\Big(\frac{-3}{7}\Big)^{-1}=\ ?$

Mark $(\checkmark)$ against the correct answer $\sqrt{2\frac{1}{4}}=\ ?$