Answer:
∠1 = 29 degrees
∠2 = 151 degrees
∠3 = 29 degrees
∠4 = 151 degrees
Step-by-step explanation:
By look at the figure, ∠1 and ∠3 are opposite angles.
Opposite angles are equal.
Given: ∠1 = 3x -1 and ∠2 = 2x + 9
Therefore, by the property
3x - 1 = 2x + 9
We can find x.
3x - 2x = 9 +1
1x = 10
x = 10
By plugging in x =10 in the above expression, we get
∠1 = 3(10) - 1
∠1 = 30 -1
∠1 = 29 degrees.
∠3 = 29 degrees.
∠2 and∠4 are equal since they are opposite angles.
Let's find ∠2
∠2 + ∠1 = 180 degrees since there are in a straight line.
∠2 + 29 = 180
∠2 = 180 -29
∠2 = 151 degrees.
∠4 = 151 degrees
Hope this will helpful.
Thank you.
