Question

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The Triangle Angle Sum Theorem states that the sum of the angles in any triangle is always 180 degrees. Therefore, we can use this theorem to find the measure of the missing angle in the right triangle.

Since we know that one of the angles in the right triangle is a right angle and measures 90 degrees, we can set up an equation to solve for the other two angles:

(2x+6) + (3x-26) + 90 = 180

Simplifying the equation, we get:

5x - 20 = 90

Adding 20 to both sides, we get:

5x = 110

Dividing by 5, we get:

x = 22

Now that we know the value of x, we can substitute it back into the expressions for the two angles to find their measures:

2x+6 = 50 degrees

3x-26 = 40 degrees

Therefore, the measures of the missing angles in the right triangle are 40 degrees and 50 degrees.

Answer 1

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Answer 2

The sum of angles in a triangle is always 180 degrees. Using this, we can find the missing angles in the right triangle by setting up and solving an equation. Giving the values of x to be 22, we find that the missing angles measure 40 and 50 degrees.

Answer 3

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