Question

Two adjatent angles parallelogram have equal measures. find the of measure each angles​

Answer 1

Answer:

Solution:

Let each adjacent angle be x

Since the adjacent angles in a parallelogram are supplementary.

\therefore x+x=180\degree∴x+x=180°

\Rightarrow2x=180\degree⇒2x=180°

\Rightarrow x=\frac{180\degree}{2}=90\degree⇒x=

2

180°

=90°

Hence, each adjacent angle is 90\degree90°

Answer 2

Answer:

90°

Explanation:

Let each adjacent angle be x

Let each adjacent angle be xSince the adjacent angles in a parallelogram are supplementary.

Let each adjacent angle be xSince the adjacent angles in a parallelogram are supplementary.\therefore x+x=180\degree∴x+x=180°

Let each adjacent angle be xSince the adjacent angles in a parallelogram are supplementary.\therefore x+x=180\degree∴x+x=180°\Rightarrow2x=180\degree⇒2x=180°

Let each adjacent angle be xSince the adjacent angles in a parallelogram are supplementary.\therefore x+x=180\degree∴x+x=180°\Rightarrow2x=180\degree⇒2x=180°\Rightarrow x=\frac{180\degree}{2}=90\degree⇒x=

Let each adjacent angle be xSince the adjacent angles in a parallelogram are supplementary.\therefore x+x=180\degree∴x+x=180°\Rightarrow2x=180\degree⇒2x=180°\Rightarrow x=\frac{180\degree}{2}=90\degree⇒x= 2

Let each adjacent angle be xSince the adjacent angles in a parallelogram are supplementary.\therefore x+x=180\degree∴x+x=180°\Rightarrow2x=180\degree⇒2x=180°\Rightarrow x=\frac{180\degree}{2}=90\degree⇒x= 2180°

Let each adjacent angle be xSince the adjacent angles in a parallelogram are supplementary.\therefore x+x=180\degree∴x+x=180°\Rightarrow2x=180\degree⇒2x=180°\Rightarrow x=\frac{180\degree}{2}=90\degree⇒x= 2180°

Let each adjacent angle be xSince the adjacent angles in a parallelogram are supplementary.\therefore x+x=180\degree∴x+x=180°\Rightarrow2x=180\degree⇒2x=180°\Rightarrow x=\frac{180\degree}{2}=90\degree⇒x= 2180° =90°

Let each adjacent angle be xSince the adjacent angles in a parallelogram are supplementary.\therefore x+x=180\degree∴x+x=180°\Rightarrow2x=180\degree⇒2x=180°\Rightarrow x=\frac{180\degree}{2}=90\degree⇒x= 2180° =90°Hence, each adjacent angle is 90\degree90°