Question

find the values of x , y,z and w in the adjoining figure, if l || m.​

Answer 1

Answer:

y=40°(alternate angle)

w=60°(corresponding angle)

Therefore,

w+z+y=180°(linear pair)

=>60°+z+40°=180°

=>z=180°-100°

=>z=80°

x+y=180°(co interior angles)

=>x=180°-40°

=>x=140°

Answer 2

Step-by-step explanation:

$\sf{ \angle \: w = 60 \degree} [corresponding \: angles]$

$\sf{\angle \: y = 40 \degree[alternate \: angles]}$

$\sf{ \angle \: w+ \angle \: y + \angle \: z = 180 \degree}[adjacent \: angles] \\ \\ \sf{\angle \: z= 180 - (60 + 40)} \\ \\ \sf{ \angle \: z=80 \degree }$

$\sf{ \angle \: x + 40 \degree = 180 \degree}[adjacent \: angles] \\ \sf{ \angle \: x = 140 \degree}$

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More to know !!

✏️ sum of adjacent angles is 180°

✏️ The sum of linear pair is 180°

✏️Alternate angles are equal

✏️ corresponding angles are equal

✏️ opposite angles are equal

✏️The sum of interior angles in a triangle is 180°