Question

In the given congruent triangles under ASA, find the value of x and y, ΔPQR = ΔSTU.​

Answer 1

⠀⠀ıllıllı uoᴉʇnloS ıllıllı

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Given:

• ΔPQR = ΔSTU (By ASA rule)
• ∠Q = ∠T = 60° (given)
• $\bar { QR } = \bar { TU }$ = 4 cm (given)
• ∠x = 30° (for ASA rule)

Now in ΔSTU,

∠S + ∠T + ∠U = 180° (Angle sum property)

∠y + 60° + ∠x = 180°

∠y + 60° + 30° = 180°

∠y + 90° = 180°

∠y = 180° - 90° = 90°

• Hence, x = 30° and y = 90°.

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Additional Information:

What is Triangle?

• Triangle is a closed figure which has three sides, three vertices and three angles.
• The sum of three angles of a triangle is equal to the 180 degree.

How many types of triangle?

• There are three types of triangle on the basis of sides are:

(1) Scalene Triangle

(2) Isosceles Triangle

(3) Equilateral Triangle

• There are three types of triangle on the basis of angles are:

(1) Acute Angled Triangle

(2) Right Angled Triangle

(3) Obtuse Angled Triangle

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Answer 2

see this is your answer

Step-by-step explanation:

given :- ∆PQR =∆STU (by ASA )

‹ Q = ‹T =60°

QR =TU = 4 cm

‹x=30° (ASA)

‹y+60+‹x=180°

‹y+60°+30°=180°

‹90°=180°

‹y=180°-90°=90°

hence , x =30° & y=90°