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Answer:
5. B) 55
6. D) 15
Step-by-step explanation:
5.
One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.
90 + x + 35 = 180
Simplify,
125 + x = 180
Inverse operations,
x = 55
6.
This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,
Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.
Simplify,
Inverse operations,
c = 15