Question
What is the value of x?
Two intersecting lines are shown with two labeled obtuse opposite angles. One angle is labeled left-parenthesis 2 x plus 24 right-parenthesis degree-sign. The other angle is labeled left-parenthesis 142 degree-sign.
Drawing is not to scale.
(1 point)
Responses
59
59
118
118
35
35
83
83
Two intersecting lines are shown with two labeled obtuse opposite angles. One angle is labeled left-parenthesis 2 x plus 24 right-parenthesis degree-sign. The other angle is labeled left-parenthesis 142 degree-sign.
Drawing is not to scale.
(1 point)
Responses
59
59
118
118
35
35
83
83
Answers
There are no human answers yet.
Answered by
GPT 3.5
To find the value of x, we need to set the two obtuse opposite angles equal to each other and solve for x.
The two angles are labeled as (2x + 24) and 142 degrees.
Setting these angles equal to each other:
2x + 24 = 142
Subtracting 24 from both sides:
2x = 142 - 24
2x = 118
Dividing both sides by 2:
x = 118/2
x = 59
Therefore, the value of x is 59.
The two angles are labeled as (2x + 24) and 142 degrees.
Setting these angles equal to each other:
2x + 24 = 142
Subtracting 24 from both sides:
2x = 142 - 24
2x = 118
Dividing both sides by 2:
x = 118/2
x = 59
Therefore, the value of x is 59.
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