Question

Find the angle of x of a right triangle (Angles: 90 degrees and 104 as the exterior angle)

Answer 1

Find the angle of x of a right triangle (Angles: 104 degrees as exterior angle and 90 degrees)

Answer 2

The answer choices are 18 degrees, 114 degrees, 68 degrees, and 76 degrees

Answer 3

In a right triangle, one of the angles is always 90 degrees. Let's assume that the other two angles are x degrees and 104 degrees.

The sum of the angles in any triangle is 180 degrees. Therefore, we can write the equation:

90 + x + 104 = 180

Simplifying the equation, we get:

x + 194 = 180

Subtracting 194 from both sides of the equation, we get:

x = 180 - 194

x = -14

However, angles cannot be negative, so there is no valid solution for x in this case.

Answer 4

In a right triangle, one of the angles is always 90 degrees. Let's assume that the other two angles are x degrees and 104 degrees.

We know that the exterior angle of a triangle is equal to the sum of its two remote interior angles. In this case, the exterior angle is 104 degrees, and the two interior angles are x and 90 degrees.

Therefore, we can write the equation:

104 = x + 90

Subtracting 90 from both sides of the equation, we get:

x = 104 - 90

Simplifying, we find:

x = 14

So, the angle x of the right triangle is 14 degrees.

Answer 5

If the exterior angle of the right triangle is 104 degrees and one of the interior angles is 90 degrees, we can find the other interior angle by subtracting the exterior angle from 180 degrees (the sum of the angles in any triangle). Therefore, the other interior angle is:

180 - 104 = 76 degrees

So, the angle x of the right triangle is 76 degrees.
The correct answer choice is 76 degrees.