Canadian Forces Aptitude Test (CFAT) Practice

Disable ads (and more) with a membership for a one time $4.99 payment

Prepare for the Canadian Forces Aptitude Test with engaging quizzes and essential resources. Access multiple choice questions, hints, and explanations to boost your confidence and readiness.

Practice this question and more.

If a triangle has angles measuring 45, 45, and x degrees, what is the value of x?

45 degrees
90 degrees
60 degrees
30 degrees

The correct answer is: 90 degrees

In any triangle, the sum of the interior angles is always 180 degrees. To find the value of x in the given triangle with angles measuring 45, 45, and x degrees, you can set up the equation based on the angle sum property: 45 + 45 + x = 180 Combining the known angles gives: 90 + x = 180 To find x, subtract 90 from both sides: x = 180 - 90 x = 90 Thus, the measurement of angle x in this triangle is 90 degrees. This confirms that the triangle is a right triangle, characterized by one angle measuring 90 degrees, which is consistent with the other two angles being equal and measuring 45 degrees each. This layout corresponds to a special type of triangle known as an isosceles right triangle.