ABCD is a kite with AD=AB

Angle A is 116 degrees
Angle B is 2x degrees
Angle D is (5x-147) degrees
Find the smallest angle of the kite

48 because is 5x-147 = 2x, 147 = 3x. 147÷3 is 49, so 48 = x. 49 times 2 is 98 which is also 2x. 98+98+116 is 312. 360 - 312 is 48.

Thanks so much this was on my home work 😭

café sells cake and scones

Tuesday ratio of no cakes sold to the no of scone sold is 5:2
Tuesday café sold 80 scones
how many cakes sold on Tuesday?

16 degrees

Dunno

find the size of the smallest angle of this kite

Kite ABCD with AD=AB means AC is the line of symmetry,

=> ∠B=∠D.
=> 2x=(5x-147)
Solve for x, and hence determine angles B & D.
Using ∠A+∠B+∠C+∠D=360°
Find ∠C and hence the smallest angle of the four.