In the figure, line L1 is parallel to line L2. If the measure of ∠4 = 144°, what is the measure of ∠6 and why? A. 144°, vertical
angles have the same measure B. 144°, corresponding angles have the same measure C. 36°, same side interior angles are supplementary D. 36°, alternate exterior angles are supplementary
2 answers:
Response:
The value of ∠6 is 36°
The correct answer is option C
Detailed explanation:
We need to determine the value of ∠6
As ∠4 and ∠6 are both same-side interior angles and the same-side interior angles always add up to 180 degrees, they are supplementary.
Thus, ∠4 + ∠6 = 180°
144° + ∠6 = 180°
∠6 = 180 - 144 = 36°
Consequently, the value of ∠6 is 36°
So, option C is the right choice.
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