Question

8. In a rhombus ABCD, AC = AD. Find the measurements of angle B and angle C.​

Answer 1

Answer:

Step-by-step explanation:

In a Rhombus ABCD, AC = AD

We know,

AB = BC = CD = DA ( In Rhombus all sides are equal )

AC = AD

Hence, In triangle ACD,

CD = AD =AC

ACD is an Equilateral triangle.

angle ACD = angle DAC = angle DCA = 60°

Similarly,

In triangle ACB,

AB =BC = AC

ABC is an Equilateral Triangle.

angle ABC = angle BAC = angle CBA = 60°

Angle B = Angle ABC = 60°

Angle DCB = Angle DCA + Angle BCA

Angle DCB = 60° + 60°

Angle DCB = 120°