The diagram below shows a sign that Jack designed. It is made of two circles that share the same center. Jack wants to use string to create a border around the outermost edge of the sign.

Step-by-step explanation:

An isosceles triangle is a triangle that has two of its sides and angles to be equal.

Given triangle ABC with <A = 40

Note that the sum of angle in a triangle is 180

<A + <B + <C =180

Since the base angle are the same, hence <B = <C

<A+<B +<B = 180

40+2<B = 180

2<B = 140

<B = 140/2

<B = 70

Since <B = <C, hence <C = 70

If triangle ABC is right angled triangle, this means that one of the angle is 90.

Since <A = 40 and one of the other two angle is 90, the third angle will be:

<A+<B<C = 180

40+90+<C = 180

130+<C = 180

<C = 180 - 130

<C = 50

Hence the possible measure of other angles will be 90° and 50°