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# In rectangle READ, find ∠EAR, ∠RAD and ∠ROD.

**Solution:**

Given, READ is a __rectangle__.

We have to find the measures of ∠EAR, ∠RAD and ∠ROD.

From the figure,

∠ROE = 60°

We know that the linear pair of angles are supplementary.

So, ∠ROE + ∠AOE = 180

60° + ∠AOE = 180°

∠AOE = 180° - 60°

∠AOE = 120°

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

Here, EO = DO

∠AOE = ∠ROD

So, ∠ROD = 120°

In triangle AOE,

Let ∠EAR = ∠DEA = x

By angle sum property of a triangle,

x + x + 120° = 180°

2x + 120° = 180°

2x = 60°

x = 60°/2

x = 30°

So, ∠EAR = 30°

In __triangle__ AOD,

Let ∠RAD = ∠EDA = y

By angle sum property of a triangle,

∠RAD + ∠EAR + ∠AOD = 180°

y + y + 60° = 180°

2y = 120°

y = 120°/2

y = 60°

So, ∠RAD = ∠EDA = 60°

Therefore, the measures of the angles ∠EAR, ∠RAD and ∠ROD are 30°, 60° and 120°.

**✦ Try This: **In Square READ, find ∠EAR, ∠RAD and ∠ROD.

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

**NCERT Exemplar Class 8 Maths Chapter 5 Problem 144**

## In rectangle READ, find ∠EAR, ∠RAD and ∠ROD.

**Summary:**

In rectangle READ, the measure of ∠EAR, ∠RAD and ∠ROD are 30°, 60° and 120°.

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