Question

in the figure L ll M and q is the transversal find the mwasure of all the pairs of angles​

Answer 1

Answer:

$angle1 = angle 7 \: because \: they \: are \\ vertically \: opposite \: angle \: \\ \\ so \: angle \: 7 = 105$

$the \: sum \: of \: two \: which \: are \: constructed \: \\ same \: base = 180 \\ \\ so \: \\ angle \: 1 + angle \: 8 = 180 \\ 105 + angle \: 8 = 180 \\ angle \: 8 = 180 - 105 \\ angle \: 8 = 75$

$angle \: 8 = angle \: 2 \: because \: they \: are \: vertically \: \\ oppsite \: angle \\ \\ so \: angle2 = 75$

$angle \: 8 = angle \: 6 \: because \: they \: are \\ alternate \: exterior \: angle \\ \\ so \: angle \: 6 = 75$

$angle \: 7 = angle \: 5 \: because \: they \: are \\ alternate \: exterior \: angle \\ \\ so \: angle \: 5 = 105$

$angle \: 1 =angle 3 \: because \: they \: are \\ alternate \: interior \: angle \: \\ so = angle \: 3 = 105$

$angle \: 2 = angle \: 4 \: becuase \: they \: are \: alternate \\ interior \: angle \\ so = angle \: 4 = 75$