Question

answer the following question​

Answer 1

Answer:

for (i)

Step-by-step explanation:

angle S=84⁰

angle p=96⁰

angle y=84⁰

angle r=96⁰

Answer 2

Answer:

(i) PQR=84°; SPQ=96°; SRQ=96°

(ii)ADC = 30°; ABC = 30°

Step-by-step explanation:

(i) As, PSR=84°, then

PQR=84°[Opposite angles are equal in a parallelogram]

SPQ=96°(180°- 84°)[PSR and SPQ are co-interior, ie, their sum is 180°]

SRQ=96°(SPQ and SRQ are Opposite angles) [opposite angles are equal in a parallelogram]

(ii) As, DAB=4x + 30° and DCB=3x + 60°

Opposite angles are equal in a parallelogram. So,

4x + 30= 3x + 60

4x - 3x= 60 - 30

x=30

4x + 30= 4(30) + 30

=150°

3x + 60= 3(30) + 60

=150°

DAB = 150°

DCB = 150°

ADC = 30°(180° - 150°) [ADC and DAB are co-interior, ie, their sum is 180°]

ABC = 30°(ABC and ADC are opposite angles) [opposite angles are equal in a parallelogram]