Finding missing angles in polygons

Finding missing angles in polygons

Lesson details

Key learning points

  1. In this lesson, we will learn how to find an unknown angle in a polygon.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
If I split a 7 sided shape into 5 triangles, I have done the correct process to find the total interior angles within the shape.
False
Correct answer: True
Q2.
Which of the following WOULD give you the total interior angles within a n-sided polygon?
180n
Correct answer: 180n - 360
360n
360n - 180
Q3.
Which of the following WOULD NOT give you the total interior angles of a n-sided polygon?
180(n - 2)
180n - 360
Correct answer: 360n
Q4.
The sum of the total interior angles in a 30 sided shape is...
504 degrees
Correct answer: 5040 degrees
540 degrees
5400 degrees
Q5.
What would be the correct calculation to work out the total sum of the interior angles in a decagon?
Correct answer: 180(10-2)
180(10)
360(10-2)
360(8)

5 Questions

Q1.
A triangle is made up of the following: 73 degrees, 51 degrees and x degrees. Solve for x.
180 degrees
236 degrees
Correct answer: 56 degrees
65 degrees
Q2.
If a quadrilateral contains 3 right angles, what must the final angle be to form a quadrilateral?
A reflex angle
Correct answer: A right angle
An acute angle
An obtuse angle
Q3.
If the angles in a decagon are the following: 73 degrees, 293 degrees, 203 degrees, 9 degrees, 29 degrees, 184 degrees, 173 degrees, 93 degrees, 208 degrees, y degrees. Solve for y.
Correct answer: 175
295
75
95
Q4.
Is it possible to have two obtuse angles in a triangle?
Correct answer: No
Yes
Q5.
You are told that V + W + X + Y + Z = total interior sum of a pentagon. If V = 90 degrees, W = 110 degrees, X = 10 degrees, Y = 300 degrees, what would Z be?
210
3
Correct answer: 30
300

Lesson appears in

UnitMaths / Angles in polygons