Respuesta :

So for this you need to use the properties of a triangle.

all angles within a triangle add up to 180

so on a rhomboid, given that all sides are of equal length, the top half and bottom half are essentially isosceles triangles.

therefore angle 2 = angle 4 and angle 1 = angle 3 so:

180 - 106 = 74 = ang 2 + ang 4

74/2 = angle 2 = angle 4 = 37 degrees

this is the angle for 1 and 3 as well because their triangle is a relflection of the lower triangle so all angles = 37 degrees

for the second question:

angle 1 + angle 2 + 26 = 180

but like in the previous example since those 3 angles form an isosceles triangle, angle 1 = 26 as well.

therefore,

180 = 26 + 26 + angle 2

180 - 26 - 26 = angle 2

angle 2 = 128

and since the upper triangle is a reflection of the lower triangle,

angle 3 = angle 2 = 128