If the difference between the measures of the two smaller angles of a right triangle is 8°, what is the measure, in degrees, of the smallest angle?
Solution
Correct Answer: Option B
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.
Let x = one of the angles Let y = the other angle We have two equations (1) x + y = 90, and (2) x - y = 8 To solve just add (1) and (2) and get 2*x + 0 = 98 or x = 49 Then from (1) we have 49 + y = 90 or y = 90 - 49 or y = 41 so,smallest angle =41 degreePractice More Questions on Our App!
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