one of the diagonals of a rhombus and its sides are equal . find the angles of the Rhombus
Answers
Answered by
8
All the sides of a rhombus are equal. So if one diagonal is equal to one side, we have 2 equilateral triangles with a common base. Hence all the angles of the 2 triangles are 60 degrees each. Thus one pair of opposite angles of the rhombus is 60 degrees and the other pair 120 degrees
Answered by
3
Answer:120
Step-by-step explanation:Step-by-step explanation:
One of the diagonals of a rhombus is equal to one of its sides.
We know that a rhombus has four equal sides. If one side has the same length as a diagonal, the diagonal is part of two equilateral triangles.Since a rhombus has four sides we can say
Rhombus = ABCD where AB = diagonal of AC
Since the triangle ABC is equilateral and so angle ABC = 60. To solve the problem we can make an equation.
60 + x = 180
Solve
60 + x = 180
180 - 60 = x
x = 120
Answer = 120
Similar questions