MATH SOLVE

7 months ago

Q:
# What are the numerical measures of each angle in the diagram?∠1 and ∠3 measure degrees.∠2 and ∠4 measure degrees.

Accepted Solution

A:

Answer:∠1 = 29 degrees∠2 = 151 degrees∠3 = 29 degrees∠4 = 151 degreesStep-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 + 9Therefore, by the property3x - 1 = 2x + 9We can find x.3x - 2x = 9 +11x = 10x = 10By 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 degreesHope this will helpful.Thank you.