Today’s learning really counts on you having secure knowledge of angles on a straight line, vertically opposite angles, types of angles and how to calculate missing angles of triangles.

**Miss Ahmed’s maths group**

You must **write your working out**, you will need to add, subtract and complete inverse calculations.

E.g. If …. is a vertically opposite angle then … will be…

I know x + y = … then I have to subtract that total from 180 degrees to give me the missing angle. 180 – (x + y) = (missing angle)

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

Select one of the reasoning questions to solve and explain.

Silver :

P = 48*

Q = 124*

R = 120*

T = 128*

S = 98*

U = 104*

V = 23*

W = 36*

Part 2 :

C = 81.3*

D = 15.7*

X = 11*

Possibilities are : 122 or 61

Challenge : The first angle would be 36 and the second angle would be 72 because the third angle is 72, and on a isosceles triangle, the two sides are the same, and so 72 x 2 = 144, and then 180-144= 36 which is the first angle.

Silver:

1.

a. p=45*

b. q=124*

c. r=120*

d. s=98*

e. t=128*

f. u=104*

g. v=23*

h. W=36*

2.

a. 81.3*

b. 15.7*

3. x=11*

Could you try the task I have set Jamie?

I found out that the first angle is 36 and the second angle is 72. The third angle is 72 so I did 180-72 which showed me the answer 108. Because the ratio from the first angle to the second angle is 1:2. That means the first angle is smaller. So the first angle is 36 degrees. The second angle is 72 degrees because on a isosceles triangle the sides are the same. So the third angle is 72 degrees that means the second angle is 72 degrees.

I have done it and I am sending pictures to the year 6 email.

Fabulous I can’t wait to see!

Silver:

1)

a) p = 48o

b )q = 124o

c) r = 120o

d) s = 98o

e) t = 128o

f) u = 104o

g)v = 23o

h) w = 36o

2)

a) c = 81.3o

b) d= 15.7o

3)x = 11o

4)1st possibility = 122o

2nd possibility = 140o

I am assuming these are meant to be degree signs?

Good job. Can you solve this?

Challenge – In a triangle, the ratio between the first and second angle is 1 : 2 and the third angle is 72. Find the first and second angle of the triangle.

Silver:

3)

a) p = 47*. b) q = 124*

c) r = 120* d) s = 32*

e) t = 123*. f) u = 284*

g) u = 59*. h) w = 77.5*

4)

a) c = 126.2*. b) d = 35.5*

5)

x = 29

6)

y only has one possible answer which is 122*

Could you answer this word problem?

In a triangle, if the second angle is 3 times the sum of the first angle and 3 and the third angle is the sum of 2 times the first angle and 3, find the three angles of the triangle

Check your answers for number four please!

1.Work out the sizes of the angles marked with letters:

a)p=48*

b)q=124*

c)r=120*

d)s=98*

e)t=128*

f)u=104*

g)v=23*

h)w=36*

2.Work out the sizes of the unknown angles:

a)c=81.3*

b)d=15.7*

3.Work out the size of angle x:

x=11*

4.Find two possibilities of angle y:

1st possibility=122*

2nd possibility=140*

I have done it and will send it. Did you get my other email.

Fabulous I did yes!