Question
If two straight lines intersect each other in such a way that one of the angles formed measures , show that each of the remaining angles measures .
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Text solutionVerified
Consider two lines and intersecting at a point with
From the figure we know that and are vertically opposite angles
so it can be written as
substituting the values
from the figure we also know that are vertically opposite angles
Therefore, it is proved that each of the remaining angle is
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Question Text | If two straight lines intersect each other in such a way that one of the angles formed measures , show that each of the remaining angles measures . |
Answer Type | Text solution:1 |
Upvotes | 152 |