Question

in the adjoining figure, if angle 2 =135°, find angle 1 , angle 3 and angle 4​

Answer 1

$angle \: 2 = angle \: 4$

$\: \: \: \: \: \: \: vertically \: opposite \: angle$

${.}^{.} . \: angle \: 4 = {135}^{o}$

$angle \: 1 + angle \: 2 + angle \: 3 + angle \: 4 = {360}^{o}$

$angle \: 1 = angle \: 3$

$vertically \: opposite \: angle$

$135 + 135 + 2(angle \: 1) = 360$

$270 + 2(angle \: 1) = 360$

$angle \: 1 = \frac{90}{2}$

$angle \: 1 = {45}^{o}$

$angle \: 1 = angle \: 3$

$angle \: 3 = {45}^{o}$