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Chapter 3: Q9. (page 114)

Draw a diagram that satisfies the conditions stated. If the conditions cannot be satisfied, write not possible.

Two lines intersect to form adjacent angles that are not supplementary.

Short Answer

Expert verified

The diagram is not possible.

Step by step solution

01

Step 1. Define supplementary angles.

Two angles are supplementary when the sum of those two angles is 180∘.

02

Step 2. Sketch the diagram.

Consider that two lines intersect.

The diagram is:

In this diagram, the adjacent angles formed when two lines intersect are supplementary. It is not possible to sketch a diagram such that “two lines intersect to form adjacent angles that are not supplementary”

03

Step 3. State the conclusion.

Therefore, the diagram is not possible.

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