Question

ZWXY is a right angle. If Z

is in the interior of ZWXY,
mZWXZ = 7x+8, and
m_ZXY = 5x-2, find the
value of x.

Answer 1

The value of x in right angle triangle WXY is a 7°

To find the value of x, we can use the fact that angles in a right triangle add up to 90°. .

To solve for x, we can use the fact that angles in a right triangle add up to 90°.

Since ∠WXY is a right angle, we have ∠WXZ + ∠ZXY = 90°.

Substituting the given values, we get (7x + 8) + (5x - 2) = 90°.

Simplifying the equation, we have 12x + 6 = 90°.

Subtracting 6 from both sides, we get 12x = 84°.

Dividing both sides by 12, we find that x = 7°.

Therefore, The value of x in right angle triangle WXY is a 7°

Answer 2

The value of x = 7

Explanation:

To solve this, we will have to fist of all know that the sum of all the angles in a right-angled triangle is 180 degrees.

In addition to that, since the triangle is a right-angled triangle, automatically, one of the angles is = 90 degrees

The next thing to do is to add all the angles together and equate them to 180 degrees.

Angle WXZ + Angle ZXY + 90 = 180 degrees

7x+8 + 5x-2 + 90 = 180

12x + 96 = 180

12x = 84

x = 7