Question

In the rhombus, angle 1= 168/ What are angle 2 and 3? The diagram is not drawn to scale

Answer 1

Opposite angles of a Rhombus are equal...

Answer 2

So Angle(1) = Angle(2)..

Answer 3

so what about angle 3?

Answer 4

would it be 84 or 6?

Answer 5

Yes so Angle (1)=Angle(2). Then Look at the triangles which are defined when the diagonal is drawn across the rhombus. They are isosceles triangles so the base angles are equal. The sum of all angles is a triangle is 180. If angle(1)=168 then the other two are of equal measure (180-168)/2 =6. So Angle 3 is 6.

Answer 6

thank you !

Answer 7

Find the measure of the numbered angles in the rhombus. The diagram is not drawn to scale.