1. In the figure shown below, the value of angle ‘a’ is 120°. If the lines AB and CD are parallel to each other and if EF is the transversal, then what is the value of ‘b’?
Show me the answers!
Correct answer is option - 3
Explanation: If a transversal crosses a pair of parallel lines, then the corresponding angles are equal to each other. Here, ‘a’ and ‘b’ are corresponding angles and hence a= b= 120°
2. A transversal crosses a pair of parallel lines. The angle formed by the transversal on one of the linesis 75°. What is the measure of its adjacent angle?
Show me the answers!
Correct answer is option - 2
Explanation: Let angle x = 75°, let its adjacent angle be = y
On a straight line, sum of two angles which are adjacent to each other = 180° (supplementary).
So x + y = 180°->75° + y = 180° which gives: y = 180° - 75° = 105°
Therefore, its adjacent angle is 105°.
3. In the figure shown below, the value of angle ‘a’ is 145°. If the lines AB and CD are parallel to each other and if EF is the transversal, then what is the value of ‘b’?
Show me the answers!
Correct answer is option - 1
Explanation:
If a transversal crosses a pair of parallel lines, then the vertically opposite angles are equal to each other.
Here, ‘a’ and ‘b’ are vertically opposite angles and hence a= b= 145°.
4. In the figure shown below, the value of angle ‘a’ is 115°. If the lines AB and CD are parallel to each other and if EF is the transversal, then what is the value of ‘b’?
Show me the answers!
Correct answer is option - 4
Explanation:If a transversal crosses a pair of parallel lines, then the interior alternate angles are equal to each other.Here, ‘a’ and ‘b’ are interior alternate angles and hence a= b= 115°
5. A transversal crosses a pair of parallel lines. The angle formed by the transversal on one of the linesis 130°. What is the measure of its adjacent angle?
Show me the answers!
Correct answer is option - 3
Explanation: Let angle x = 130°, let its adjacent angle be = y
On a straight line, sum of two angles which are adjacent to each other = 180° (supplementary).
So x + y = 180°-> 130° + y = 180° which gives: y = 180° - 130° = 50°
Therefore, its adjacent angle is 50°.