Question

find the value of x
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Answer 1

Answer:

$(iii) \: \blue{\mathfrak{\underline{\large{On \: line \: n}}}:} \\ (linear \: pair) \\ 65° + c = 180° \\ \boxed{c = 115°} \\ since, \: l||m \: and \: n||p \: so \: the \: figure \\ is \: a \: paralleleogram. \\ (opposite \:angles \: of \: paralelogram \\ are \: equal) \\ hence, \: \angle c = \angle d = 115° \\ \boxed{d = 115°} \\ let \: a = b = x \\ a + b + c + d = 360° \\ x + x + 115° + 115° = 360° \\ 2x = 360° - 230° \\ 2x = 130° \\ \boxed{x = 65°} \\ \boxed{a = b = x = 65°} \\ \\ (iv) \: since, \: m||n \\ (correspondng \: angles) \\ c = 69 \degree \: and \: d = 117 \degree \\ (co - interior \: angle) \\ a + c = 180 \degree \: \: and \: \: b + d = 180 \degree \\ a + 69 \degree = 180 \degree \: \: and \: \: b + 117 \degree = 180 \degree \\ \boxed{a = 111 \degree} \: \: and \: \: \boxed{b = 63 \degree} \\ \\ \red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$

Answer 2

I'm not that sure of the second one I may tell you the wrong but I'm sure sure of the first one so here,if I'll get it I'll send the answer of it as my question so f.llow me to get the notification and I'll f.llow you ok?

a thanks will be appreciated

and the brainliest answer rank will be amazing!.(◍•ᴗ•◍)