Question

25
The angles in triangle A are in the ratio 1:2:3
The angles in triangle B are in the ratio 4:5:6
Not drawn
accurately
B
А
Jack says,
"The middle number in each ratio is one third of the total,
so one of the angles in each triangle is 60 degrees”
Is he correct?
Show working to support your answer.
[2 marks]​

Answer 1

Answer:

Yes, he is correct

Step-by-step explanation:

Sum of three angles of triangle is 180

$x + 2x + 3x = 180$

$6x = 180 \\ x = 30$

$2x = 60$

The statement is true in triangle A

Similarly, y=12

5y=60

Answer 2

Answer:

1x + 2x + 3x = 180

6x =180

X=180/6=30

so the angles are 30,60,90

4x+5x+6x=180

15x=180

X=180/15=12

so the angles are 48,60,72

therefore jack is correct as middle no is 1/3 of the total

Thank you