Question

5. The measure of one angle of a parallelogram is 50°. Find the measures of the remaining angles .





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Answer 1

★ ᴀɴsᴡᴇʀ ★

Given:

angle of a parallelogram is 50°.

To Find:

the measures of the remaining angles .

Solution:

Let the other angle be x

We know that

Sum of all angles of parallelogram is 360

In a parallelogram opposite angles are equal and opposite sides are parallel. thus two angles on the same side are supplementary.

Therefore, the angle opposite to the 50° will be 50°

0*and the other two angles will be x

Now,

$= > 50 + 50 + x + x = 360$

$= > 100 + 2x = 360$

$= > 2x = 360 - 100$

$= > x = \frac{260}{2}$

$= > x = 130$

the measures of the remaining angles are 130,130, and 50

Answer 2

Answer:

★ 130°,130°

Step-by-step explanation:

Given that:-

angle of parallelogram is 50°

let's find :-

$= > 50 + 50 + x + x = 360$

$= > 100 + 2x = 360$

$= > 2 x - 360 = 100$

$2x = 360 - 100$

$2x = 290$

$x = \frac{260}{2}$

$= > x = 130$

130°,130°

hope it's help you ☺️☺️☝️☝️✍️✍️✍️✍️