# In rhombus BEAM, find ∠AME and ∠AEM.

**Solution:**

Given, BEAM is a rhombus.

We have to find ∠AME and ∠AEM.

Given, ∠BAM = 70°

We know that the __diagonals__ of a __rhombus__ bisect at 90 degrees.

So, ∠AOM = 90°

Considering triangle AOM ,

By angle sum property of a triangle,

∠AOM + ∠AMO + ∠MOA = 180°

90° + ∠AMO + 70° = 180°

160° + ∠AMO = 180°

∠AMO = 180° − 160°

∠AMO = 20°

We know that all the sides are equal in a rhombus.

So, BE = EA = AM = MB

In triangle AME,

EA = AM

We know that the angles opposite to the equal sides are equal.

∠AME = ∠AEM = 20°

Therefore, the values of ∠AEM and ∠AME are 20° and 20°.

**✦ Try This: **In parallelogram BEAM, find ∠AME and ∠AEM.

**☛ Also Check: **NCERT Solutions for Class 8 Maths

**NCERT Exemplar Class 8 Maths Chapter 5 Problem 148**

## In rhombus BEAM, find ∠AME and ∠AEM.

**Summary:**

In rhombus BEAM, the values of ∠AEM and ∠AME are 20° and 20°.

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