Question

Find the measurements of angle 1 and 3 in the kite. The diagram is not to scale.

Answer 1

We observe that the kite consists of 4 right triangles meaning, one angle of the triangle that we can see has to be 90 degrees.

For angle 3, a triangle has a total of 180 degrees regardless of the distribution so if the top angle is 39, and we have 90:

Angle 3= 180-(39+90)
= 51

For angle 1, we can say that the triangle that it belongs to is just the "mirror" image of the triangle where angle 3 resides. So basically for this case the angle is also 39 degrees.