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erastova [34]
2 years ago
10

Pls help me full steps I needed Find X

Mathematics
1 answer:
zaharov [31]2 years ago
6 0

Answer:

x=60°

Step-by-step explanation:

Let's say the point where angle x is, be K

Because ABCD and PQRS are paralelograms,

∡PSR = ∡PQR =130°

and

∡DAB=∡DCB=70°

and by angles between parallels

∡SPQ + ∡PQR = 180°

∡SPQ + 130° = 180°

∡SPQ = 50°

by angles opposite by vertex

∡PKC = ∡BKQ = x

So in triangle PKC the sum of all angles must add up to 180°

so

∡SPQ + ∡PKC + ∡DCB = 180

50 + x + 70 = 180

x = 60

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