Yesterday you all learnt that the **THREE **angles in a **TRI**angle total 180 degrees (a + b + c = 180).

Today we will be moving on to looking at angles in triangles in “Special Cases”. The video below explains the learning and shares examples for you to work on.

Please ensure that you title your task and number it accordingly. Too many of you are just writing random numbers in the comments. You would not do this in your books, as it makes it tricky to mark and see your method… the blog is no different. Please let us know if you are going to send an email of your work!

**Miss Ahmed’s maths group**

**Miss Ahmed’s maths group reasoning challenge**s

**Miss Vega and Mrs Hurt’s maths group**

**Miss Vega and Mrs Hurt’s Reasoning challenge**

M = 68

N = 58

R = 45

S = 60

In most or all triangles, the perimeter of a triangle is less than 180cm/ degrees etc… It is a equilateral triangle with 3 sides, and so you do 180 divided by 3 which is 60.

False

False

False

True

It isnt a isosceles because all three of the angles must add up to 180 and 2 of the angles must be the same, but on that diagram one angle is 74 and the other is 43, and to get to 180 you would need 63 which is not the same angle as either 74 or 43.

Silver

1.Work out the sizes of the unknown angle:

a)m=68*

b)n=58*

c)r=45*

d)s=120*

2.All of the angles are the same because it is an eqilateral triangle and there are 3 sides so you have to do 180* divided by 3 and that equals 60* so each angle is 60*.

3.a=false

b=false

c=false

d=true

4.The angle is not an isoceles triangle because 2 of the angles have to be the same but none of the angles are the same because the last angle is 63* so it is not an isoceles triangle.

5.1st possibility=29*, 29* and 122*

2nd possibility=75.5*, 75.5* and 151*

5.Angle c is 72* and angle b is also 72* and that means that angle a is 36* because angle a is half the size of angle b.

Good try! check your answers again please or show me your working out so I can see how you have goen wrong!

I have sent it by email.

Which email Anya? I usually get yours…

lots of children are saying they are sending work, but as I am not receiving any I am left wondering if there is an issue with my account

I have sent it to the year 6 upload. I think I wrote this comment before I sent the email. Have you received it now?

I have! Thank you!

Silver

5)

m = 68

r = 45

n = 58

s = 40

6)

All of the angles are the size of 60* because it is an equilateral triangle, and there are three sides, so you do 180* divided by 3 which is 60*.

7) (Statements)

a) False

b) False

c) False

d) False

8)

The triangle is not isosceles because an isosceles triangle has 2 same angles and 1 different, but here they are all different because the last angle is 63*

9)

The other angles could both be 75.5* each because the triangle is an isosceles and an isosceles has two equal angles therefore the other angles are both 75.5*

10)

Angle c) = 72 because angle a) = 36 and angle b) Is the same as angle c) and 36 + 72+ 72 = 180

Great job Zak! These are all correct apart from the statements, there are 2 true and two false! Can you tell me which two are true?

1.M=68

2.N=58

3.R=45

4.S=60

2. Jack is correct because the triangle is an equilateral triangle so all the angles are the same. So all you need to do is 180 divided by 3=60. So all the angles are 60 degrees.

3.

1. False

2. False

3. False

4. True

4. It is an isosceles triangle because the angles are to different measurements so it can’t be equilateral and can’t be right angle because it has no right angle. So it is an isosceles triangle.

Well done Raumaan! Can you just double check your statements too please? The rest are correct!

I have done the maths and challenge and sent it to the year 6 email.

I have sent an email.

Fabulous!

Well done Laraib. I can’t check your answers as I can’t see them.