Question

help maths question ​

Answer 1

Answer:

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Answer 2

Answer:

$\huge \red{ \bf{Answer}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ x = 60} \\ \\ \\ \huge \mathbb{ \underline{Explanation}} \\ \\ A.T.Q.\\ angles \: of \: quadrilateral \: are \\ \star(x + 30),(x + 60),(x + 70),(x - 40) \\ \\ \green{we \: know \: that }\\ \red{ the \: sum \: of \: angles \: of \: a \: quadrilateral \: is \: \: } \blue{360 \degree} \\ \\ therefore \\ \implies \: \: x + 30 + x + 60 + x + 70 + x - 40 = 360 \\ \\ \implies \: 4x + 120 = 360 \\ \\ \implies \: 4x = 360 - 120 \\ \\ \implies \: 4x = 240 \\ \\ \implies \: x = \frac{240}{4} \\ \\ \implies \: \red{\boxed{x = 60 \: }}$