Vickyvics183
29.07.2020 •
Mathematics
Pls help me full steps I needed Find X
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Ответ:
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
Ответ: