Question

7. In the given congruent triangles under ASA, find the value of x and y, triangle PQR is congruent to triangle STU where q is 60 degree and r is 30 degree and in other triangle s =y angle t is 60degree and u is x
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Answer 1

Answer:

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Step-by-step explanation:

Given: ΔPQR = ΔSTU (By ASA rule)

∠Q = ∠T = 60° (given)

QR¯ = 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°

Answer 2

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