Question

Kirsty says,

When you double the size of an acute angle,
you always get an obtuse angle.
Explain why Kirsty is not correct.

Answer 1

Step-by-step explanation:

this is because if the acute angle is equal to or less than 45° it will be less than or equal to 90° but it the angle is more than 45° then it will be a obtuse angle if it is doubled .

eg.

acute angle is 44°

then if it is doubled it will be 44 ˣ 2

= 88°

But if the angle is 46 °

then if it is doubled it will be 46 ˣ 2

= 92°

hope this helps you.

Answer 2

Kirsty is not correct because doubling the size of an acute angle can still result in an acute angle, not necessarily an obtuse angle.

Step-by-step explanation:

Kirsty's statement that doubling the size of an acute angle always results in an obtuse angle is not correct.

An acute angle is any angle that measures less than 90 degrees. When you double the size of an angle, you multiply its measure by 2. So, if you start with an acute angle of 30 degrees and double it, you would get an angle of 60 degrees, which is still an acute angle. This shows that Kirsty's statement is not always true.

Therefore, Kirsty is not correct because doubling the size of an acute angle can still result in an acute angle, not necessarily an obtuse angle.