Math, asked by aalekhmadhvani73, 9 hours ago

In a rhombus ABCD, if A= 60 find B. C & D. ​

Answers

Answered by anjumanyasmin
1

From the given question the correct answer is:

the m∠A, m∠B,m∠C and m∠D are 60°, 120°, 60° and 120°

Given:

In rhombus

A= 60°

To find:

the angle  B. C & D. ​

Solution:

we know that, In rhombus opposite interior angles are equal

Let , opposite angle of A is C and

opposite angle of B is D.

So,

∠ A = ∠C = 60°

the adjacent angles of rhombus have a sum of 180°

∠ A + ∠ B = 180°

60 +∠ B = 180°

∠ B = 180 - 60

∠ B = 120

opposite interior angles are equal,

∠ B = ∠D = 120°

Hence the m∠A, m∠B,m∠C and m∠D are 60°, 120°, 60° and 120°

Answered by syedtahir20
0

As we know that,

Given:

In a rhombus ABCD,

Find out:

The angle, B, C and, D. ​

Let us:

As we know that in the rhombus, opposite interior angles are equal.

so,

The opposite angle of A is C,  

The opposite angle of B is D.

hence,

∠ A=C ∠°=60

The adjacent angles of the rhombus have a sum of 180°

so,

∠ A+∠ B°=80

60°+∠B °=180°

B = 180 - 60°

B = 120°

opposite interior angles are equal,

B = ∠D = 120°

So that m∠A, m∠B,m∠C, and m∠D are 60°, 120°, 60°, and 120°.

Similar questions