Question

In a rectangle READ find angle EAR, angle RAD and angle ROD.

Answer 1

Answer:

60° , 30° & 120° respectively

Step-by-step explanation:

Pls refer to the attachment for the detailed solution

Answer 2

The measure of angles EAR, angle RAD and angle ROD are 30°, 60° and 120° respectively.

Step-by-step explanation:

Given information: ∠EOR=60°.

From the given figure it is clear that ∠EOR and ∠ROD are liners pairs.

$\angle EOR+\angle ROD=180$        (Supplementary angles)

$60+\angle ROD=180$

$\angle ROD=180-60$

$\angle ROD=120$

Vertical opposite angles are equal, so

$\angle EOR=\angle DOA=60$

Diagonals of a rectangle bisect each other. It means triangle OAD is an isosceles triangle.

Let $\angle RAD=\angle EDA=x$.

$\angle RAD+\angle EDA+\qangle DOA=180$        (Angle sum property)

$x+x+60=180$

$2x=180-60$

$2x=120$

$x=60$

The value of x is 60. So $\angle RAD=60$.

∠EAR and ∠RAD are complimentary angles.

$\angle EAR+\angle RAD=90$

$\angle EAR+60=90$

$\angle EAR=90-60$

$\angle EAR=30$

Therefore, the measure of angles EAR, angle RAD and angle ROD are 30°, 60° and 120° respectively.

#Learn more

In this figure along side x:y=2:3 and ACD =130° Find x,y and z​

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