Question

find the values of x and y in each of the following
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Answer 1

Answer:

50+70+y=180

y=60

60+x+x+40=180

100+2x=180

x=40

Step-by-step explanation:

y=60, x=40

Answer 2

Step-by-step explanation:

here,

$50 {}^{0} + y + 70 {}^{0} = 180 {}^{0} (straight \: angle) \\ = > 180 {}^{0} -12 0 {}^{0} = y \\ = > y = 60 {}^{0}$

$it \: is \: given \: that \\ x = angle \: b \\ \\ now \: \\ in \: quadrilateral \: abcd \: \\ 40 {}^{0} + 60 {}^{0} + x + x \: = 360 {}^{0} \\ = > 2x = 360 {}^{0} - 100 {}^{0} \\ = > 2x = 260 {}^{0} \\ = > x = \frac{260 {}^{0} }{2} \\ = > x = 130 {}^{0}$