Question

Find the value of x,y,and z​

Answer 1

Hey there!

Answer:

x = 35°

y = 115°

z = 25°

Step-by-step explanation:

x + 3x + 40 = 180  ( straight line property)

4x + 40 = 180

4x = 180 - 40

4x = 140

x = 140 / 4

x = 35°

Now,

3x + 40 = y + 30   ( vertically opposite angles)

3 * 35 + 40 = y + 30

105 + 40 = y + 30

145 = y + 30

y = 145 - 30

y = 115°

And,

x = z + 10  ( vertically opposite angle)

35 = z + 10

35 - 10 = z

z = 25°

Hope it Helps You!

Answer 2

Answer:

angle BOD+angle DOA=180 as linear pair

x+y+30=180

x+y=150

x+3x+40=180 linear pair

4x=140

x=35

35+y=150

y=115

y+30+z+10=180

115+30+z+10=180

155+z=180

z=25