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A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees. What is the value of x? 14 15 16 17

User Yanka
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2 Answers

4 votes

Answer:

x = 14.

Explanation:

The other 2 opposite angle are both equal to 70 degrees.

So 5x = 70

x = 70/5

= 14 degrees.

User Mcont
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9.1k points
3 votes

Answer:

Option A.

Explanation:

It is given that a quadrilateral has congruent side lengths. It means the quadrilateral is either square of rhombus.

Each interior angles of a square is a right angle.

2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.

Since the interior angles of the given quadrilateral are not right angles, therefore it must be a rhombus.

Opposite angles of a rhombus are congruent.


5x=70

Divide both sides by 5.


x=(70)/(5)


x=14

The value of x is 14.

Therefore, the correct option is A.

User Kazuki Okamoto
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