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Chapter 5: Q1 (page 197)

In the following figure, a parallelogram EFGHis given and m鈭�EFG=70. Then find m鈭�HEF.

Short Answer

Expert verified

The measure of m鈭�HEF=110鈭�.

Step by step solution

01

Step 1. Apply the concept of a parallelogram.

In a parallelogram, the consecutive angles are supplementary.

02

Step 2. Check the figure.

Consider the figure.

03

Step 3. Step description.

Since the consecutive angles are supplementary therefore find the value of m鈭�HEFas follows:

m鈭�EFG+m鈭�HEF=180鈭�70鈭�+m鈭�HEF=180鈭�m鈭�HEF=180鈭�鈭�70鈭�m鈭�HEF=110鈭�

Therefore, the measure is m鈭�HEF=110鈭�.

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