Fill in the blank question.Quadrilateral ZYXW is a rhombus. If m∠VWZ= 39°𝑚∠𝑉𝑊𝑍= 39° , find m∠VZW𝑚∠𝑉𝑍𝑊 .
Question
Fill in the blank question.Quadrilateral ZYXW is a rhombus. If m∠VWZ= 39°𝑚∠𝑉𝑊𝑍= 39° , find m∠VZW𝑚∠𝑉𝑍𝑊 .
Solution
In a rhombus, opposite angles are equal and adjacent angles are supplementary.
Step 1: Identify the given angle. In this case, m∠VWZ = 39°.
Step 2: Since adjacent angles in a rhombus are supplementary, they add up to 180°.
Step 3: Subtract the given angle from 180° to find the measure of the adjacent angle.
So, m∠VZW = 180° - 39° = 141°.
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