What is the value of X given the angles between parallel lines shown above?
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What is the value of X given the angles between parallel lines shown above?
Due to the fact that the lines are parallel, we will begin by drawing a further imaginary parallel line that crosses the 110 angle.
The angle adjacent to the angle 105 is equal to 75 (a straight angle is equal to 180 degrees) This angle is alternate with the angle that was divided using the imaginary line, therefore it is also equal to 75.
In the picture we are shown that the whole angle is equal to 110. Considering that we found only a part of it, we will indicate the second part of the angle as X since it alternates and is equal to the existing X angle.
Therefore we can say that:
35°
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
Corresponding angles (same position) and alternate angles (opposite sides of transversal) are equal. Co-interior angles (same side of transversal) add up to 180°.
The 105° angle and its adjacent angle form a straight line, so they must add to 180°. This gives us 180° - 105° = 75°, which we need to find X.
Look for arrow marks or parallel symbols (||) on the lines. The problem will always indicate when lines are parallel, as this is crucial for solving the problem.
Not in this case! Since X is part of the 110° angle, it must be smaller. Use the equation:
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