Question

diagonal AC of a rhombus ABCD is equal to one of its side BC find all the angles of the Rhombus

Answer 1

your answer is here.....

Answer 2

Answer:

Concept:

       A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides and diagonals that are at right angles to one another.

Step-by-step explanation:

Given:

Let as assume ABCD is a rhombus. Diagonal AC is equal to one of its side BC.

To find:

All the angles of the rhombus.

Solution:

When one side is equal to the diagonal AC , then all sides are equal to AC because all sides of rhombus are equal.

So, in △ABC, all sides are equal.

Let measure of angles in △ABC be x.

∴  $x+x+x$=180 °  [∴ sum of angles is 180°in triangle ]

 $3x$=180°

 $x$=60°

∴  ∠B=60°

In △ACD,

Let measure of angles in △ACD be x.          

$x+x+x$=180°

$3x$ = 180°

$x$=60°

∠D=60°

⇒∠A=60°+60°=120°

⇒∠B=60°+60°=120°

Therefore, the angles of rhombus ABCD are 120°,60°,120°,60°.

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