Question

find value of a
in the given figure
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Answer 1

Answer:

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7th

Maths

Congruence of Triangles

Criteria for Triangle Congruence

In fig., PQRS is square and...

MATHS

In fig., PQRS is square and SRT is an equilateral triangle. Prove that

(i) PT=QT (ii) ∠TQR=15

∘

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EASY

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ANSWER

(i) Because PQRS is a square

∠PSR=∠QRS=90

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Now In △SRT

∠TSR=∠TRS=60

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∠PSR+∠TSR=∠QRS+∠TRS

⟹∠TSP=∠TRQ

Now in △TSP and △TRQ

TS=TR

∠TSP=∠TRQ

PS=QR

Therefore , △TSP≡△TRQ

So PT=QT

(ii) Now in △TQR,

TR=QR(RQ=SR=TR)

∠TQR=∠QTR

And ∠TQR+∠QTR+∠TRQ=180

⟹∠TQR+∠QTR+∠TRS+∠SRQ=180

⟹2(∠TQR)+60+90=180 (∠TQR=∠QTR)

2(∠TQR)=30

⟹∠TQR=15

∘

a =15

Answer 2

Answer:

90 DEGREE

Step-by-step explanation:

line SQ is perpendicular to side TN. triangle STR is equilateral since

angle A=90 degree

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