Question

Angle homework , help fasttt thanksss

Answer 1

`\boxed{question \: number \: 4} \to \boxed{x = 36} \\ \boxed{question \: number \: 5} \to \boxed{x = 120}`

Explanation:

`\boxed{question \: number \: 4 \to} \\ each \: interior \: angle \: \boxed{a}\: of \: a \: regular \: polygon \: is \to \\ \boxed{a = ((n - 2)180)/(n) }..........where \: \boxed{n} \: is \: the \: \boxed{number \: of \: sides} \\ a = ((5 - 2)180)/(5) = (3 * 180)/(5) \\ a = 108 \to \: hence \: \to \\ \boxed {180 - both \: equal \: base \: angles \: of \: the \: triangle = x} \\ 180 - 108 = 72 \to \: angles \: on \: a \: straight \: line \\ x + 2 * 72 = 180 \\ x = 180 - 144 \\ \boxed{x = 36.} \\ \\ \boxed{question \: number \: 5 \to} \\ each \: interior \: angle \: \boxed{a}\: of \: a \: regular \: polygon \: is \to \\ \boxed{a = ((n - 2)180)/(n) }..........where \: \boxed{n} \: is \: the \: \boxed{number \: of \: sides} \\ a = ((6- 2)180)/(6) = (4 * 120)/(6) \\ a = 108 \to hence \to \\ \boxed {180 - both \: equal \: base \: angles \: of \: the \: triangle = 60} \\ 2x + 2(60) = 360 \to \: sum \: of \: angles \:at \: a \: point\\ 2x + 120 = 360 \\ 2x = 360 - 120\\ x = (240)/(2) \\ \boxed{x =120.}`

♨Rage♨