Question

it is given that quadrilatera ABCD is congruent to the quadrilateral PQRS. <a= 100° <b=70° <c=95° and PQ =6cm. i) write down length of AB. ii ) Find <s​

Answer 1

i) AB = 6cm

ii) <s = 95°

i) since ABCD is congruent to PQRS

AB = PQ (corresponding parts of congruent figures)

AB = 6cm

ii) in ABCD ,

<a + <b + <c + <d = 360° (angle sum property of a quadrilateral)

100° + 70° + 95° + <d = 360°

265° + <d = 360°

<d = 360° - 265°

<d = 95°

since ABCD is congruent to PQRS,

<d = <s (corresponding parts of congruent figures)

therefore,

<s = 95°