Angles | MCQs

Explanation

The sum of the exterior angles of any polygon is always 360 degrees. 

As for the interior angles, the sum of all the interior angles in a polygon is equal to: (n-2) x 180

Explanation

Two angles are called supplementary when their measures add up to 180 degrees.

Two angles are called complementary when their measures add up to 90 degrees.

Explanation

A pie chart represents data in a circular form, and the sum of all the angles in the chart always equals 360°.

Each slice of the pie chart corresponds to a portion of the total, and their angles add up to 360°.

Explanation

Explanation

Let smallest angle = x

Then largest angle = 2 x − 24°

But x + 2 x − 24° = 180°

⇒3 x − 24° = 180°

⇒3 x = 180° + 24 = 204°

⇒x = 204/3 = 68°

∴ largest angle = 180 − 68° = 112°

Explanation

Vertical angles are equal, so set up an equation:

80° = 4x

Divide both sides by 4:

x = 80° / 4

x = 20°

Explanation

The sum of the internal angles of a polygon can be found using the formula:

(n-2) × 180°

where n is the number of sides.

For a regular octagon (8 sides):

(8-2) × 180° = 6 × 180° = 1080°

Since it's a regular octagon, all internal angles are equal. To find the measure of each internal angle, divide the total sum by the number of angles:

1080° ÷ 8 = 135°

Explanation

Let two angles be x and 2x

Given that, angles are supplementary

∴x+2x=180o

 ⇒3x=180

⇒x= 3

180o

 ⇒x=60 o

 Therefore, bigger angle is 2x=120∘

Explanation

Note: The answer given in FPSC answer key is (c) but actual answer is (b).

The angle made by two lines is called an angle itself, and the point where the two lines meet is called the vertex.

Among the given options:

• Segment refers to a part of a line with two endpoints.
• Vertex is the correct term for the point where the two lines meet and form an angle.
• Rays refer to lines that extend indefinitely in one direction from a point.

Explanation

A bisector of an angle divides the angle into two equal parts.

It is a line or ray that starts from the angle's vertex and splits it evenly.