Question

find the value of x, y and z
( will mark brainliest )​

Answer 1

Answer:

x = 30° , y = 15° and z = 150°

Step-by-step explanation:

Sum of angles on straight line is 180° so

$2x + 90 + x = 180 \\ \\ \implies3x = 180 - 90 = 90 \\ \\\implies \: x = 30 ^{ \circ}$

Now note that 2y and x are corresponding angles of parallel lines l and m so

$2x = y \\ \\ \implies \: y = \frac{x}{2} = \frac{30}{2} = 15^{ \circ}$

Now again sum of 2y and z is 180° ( Angles on straight line )

$2y + z = 180 \\ \\ \implies \: z = 180 - 30 = 150^{ \circ}$

Answer 2

Answer:

for line m

angle 2x+90°+x=180° (corresponding angle)

3x+90°=180°

3x=180°-90°

x=90°/3

x=30° (1)

2x=2×30=60° (2)

line l and line m are parallel therefore.angle z and x are adjacent angles

adjacent angles are equal

therefore angle z=30°

for line L

2y+z=180° (corresponding angle)

2y+30°=180°

2y=180-30

y=150/2

y=75°

therefore

x=30° y=75° z=30°