SOLUTION: HI, I am having trouble with a few questions. Could you please help me? 1. MNOP is a rhombus. Find /_ MRN Note: this rhombus has 2 diagonals crossing through it. M and N are tw

Question 1104010: HI, I am having trouble with a few questions. Could you please help me?
1. MNOP is a rhombus. Find /_ MRN
Note: this rhombus has 2 diagonals crossing through it. M and N are two corners of the Rhombus and r is the intersection between the two diagonals
2. The measure of the interior angles(sum) is given. Find the number of sides:
900 degrees, 1980 degrees and 5400 degrees
I really do not get these questions and need help. Thank you so much!

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The diagonals of a rhombus are perpendicular to each other. MRN is 90 degrees.
The sum of the interior angles of a polygon is (n-2)180, and this can be remembered by thinking of 3 sides, a triangle (180) and 4 sides (a square) of 360.
(n-2)(180)=900
n-2=5, n=7 sides
1980 degrees=(n-2)180
n-2=11, n=13 sides
5400 degrees=(n-2)180
n-2=30
n=32 sides

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