Question

HEY♥
If ADCB and PSRG are two parallelograms , find 'x'.♥
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Answer 1

Answer: 50 degree

Step-by-step explanation:

As both parallelograms are similar.

So we can calculate some of unknown angles

Angles -

PSC = 70

BAD = 1/2(360-120-120) = 60

x= 180 -70 - 60

x = 50 degree

Answer 2

Answer:

x=50°

Step-by-step explanation:

ABCD is a parallelogram

=>opposite angles of a parallelogram are congruent

=>∠DAB=∠BCD and ∠ABC=∠ADC=120°

In ABCD,

∠DAB+∠BCD+∠ABC+∠ADC=360°......(sum of the measure of angle of a quadrilateral)

=> ∠BCD+∠BCD+120°+120°=360°

=> 2∠BCD=360°-240°

=> 2∠BCD=120°

=> ∠BCD=60°

PQRS is parallelogram

=> ∠PQR=∠PSR=70°

In triangle CMS

∠CMS+∠CSM+∠MCS=180°

=> x+70°+60°=180°

=> x=50°

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