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

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°

Answer Link

oeerivona oeerivona · Answer 2 · 2022-02-14T14:28:35+01:00

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°

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