How to find an angle in a right triangle - ISEE Upper Level Mathematics Achievement

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Question

Which of the following is true about a triangle with two angles that measure and ?

Answer

The sum of the two given angles is 90 degrees, which means that the third angle should be a right angle (90 degrees). We also know that two of the angles are equal. Therefore, the triangle is right and isosceles.

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Question

What is the value of x in a right triangle if the two acute angles are equal to 5x and 25x?

Answer

In a right triangle, there is one right angle of 90 degrees, while the two acute angles add up to 90 degrees.

Given that the two acute angles are equal to 5x and 25x, the value of x can be calculated with the equation below:

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