Answer:
x = 15
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
3x - 10 + 6x + 5 + 4x - 10 = 180, simplify left side
13x - 15 = 180 ( add 15 to both sides )
13x = 195 ( divide both sides by 13 )
x = 15
<span>If two parallel planes are cut by a third plane, then the lines of intersection are parallel and cannot intersect one another.</span>
Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).