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What is the value of x in the figure?


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x =

Two lines intersecting in a right angle with a square indicating a right angle in quadrant one and a ray splitting it with X degrees labeling the left angle of the ray and fifty six degrees labeling the angle to the right of the ray

Verified Answer :

MissPhiladelphia

If the angle formed by the lines are right angles and one of the angle produced by the ray is 56° then the other angle must be complementary to it. Simply subtract 90° by 56° and you get the measure of the angle.
90 - 56 = 34°
The measure of the angle is 34°

The angle x is given by angle addition postulate given that the sum of

angle x and 56° is 90°.

Response:

  • x = 34°

What is the angle addition postulate?

The angle addition postulate states that the angle split by a ray is the

same as the sum of the two angles formed by the ray.

The diagram representing the given description is attached.

From the attached diagram, we have;

The angle the ray splits = The 90° angle

Therefore;

  • x° + 56° = 90° by angle addition postulate

Therefore;

x = 90° - 56° = 34°

  • The value of the angle x in the question is, x = 34°

Learn more about angle addition postulate here:

https://brainly.com/question/62957

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