Question

In the figure given
below, which triangles
are similar? Justify.
​

Answer 1

∆DMN is similar to ∆AQR

Because ,

In ∆ AQR and ∆ DMN

angle R = angle N ( Given )

angle Q = angle M ( Given )

angle D = angle A ( Angle sum property )

So, ∆AQR similar to ∆ DMN

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Answer 2

Answer:

DMN is similar to AQR

Explanation:

IN DMN

angle 70 + angle 55 + angle a = 180 ( Angle sum property)

Angle a + 125 = 180

Angle a = 180-125

Angle a = 55

Then

In AQR

Put the value of a in it .

55 + a +angle QAR = 180 ( angle sum property )

55+55 + Angle QAR = 180

ANgle QAR = 180-55+55

Angle QAR = 70

Since,

All angles of DMN = all angles of AQR

Hence they are similar.

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