Answer :

The value of x = 27

This question is from Angle

Kindly Refer to the Attachment for clear understanding

What is Angle?

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

Given,

w ∈ vx, y ∈ xz

Angle XWY = 180 - 6x

Angle XYW = 180 - 4x

Due to the fact that they are the acute angles of a right triangle, the two angles are complimentary and sum up to 90 degrees.

= (180 - 6x) + (180 - 4x) = 90

= (180 + 180) + (-6x - 4x) = 90

= 360 - 10x = 90

= -10x =90 - 360 ... subtract 360 from both sides

= -10x = -270

x = -270/(-10) .... divide both sides by -10

x = 27

The value of x = 27

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