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Chapter 6: Q4. (page 218)

Classify the following conditional as true or false.

If 鈭�BCDis an exterior angle of 螖ABC, then m鈭�BCD>m鈭�A+m鈭�B.

Short Answer

Expert verified

The statement is false.

Step by step solution

01

Step 1. Apply the concept of the conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also known as an " If-then" statement.

02

Step 2. Step description.

Consider the statement 鈥渋f 鈭�BCDis an exterior angle of 螖ABCthen m鈭�BCD>m鈭�A+m鈭�B.鈥�

Here 鈭�BCDis an exterior angle of 螖ABC.

From properties of triangle, measure of exterior angle is equal to the measure of sum of two opposite interior angles.

03

Step 3. Step description.

Since the measure of exterior angle is equal to the measure of sum of two opposite interior angles but here measure of exterior angle is greater than the sum of two interior angles such that m鈭�BCD>m鈭�A+m鈭�B, which is not possible.

Therefore, the statement is false.

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