Go through the diagram given and answer the questions
(i)Identify the angles marked as ∠Aand∠B.
Why are they equal?
(ii) Why is ∠x less than∠A?
Answers
Answer:
An angle is formed when two lines or rays or line segments meet or
intersect.
• When the sum of the measures of two angles is 90°, the angles are
called complementary angles. Each of them is called complement of
the other.
• When the sum of the measures of two angles is 180°, the angles are
called supplementary angles. Each of them is called supplement of
the other.
• Two angles are called adjacent angles, if they have a common vertex
and a common arm but no common interior points.
• A linear pair is a pair of adjacent angles whose non-common sides
are opposite rays.
• When two lines intersect, the vertically opposite angles so formed
are equal.
• When two lines are intersected by a transversal, eight angles are
formed. These angles can be classified as 4 interior angles, 4 exterior
angles, 4 pairs of corresponding angles, 2 pairs of alternate interior
angles, 2 pairs of alternate exterior angles and two pairs of interior
angles on the same side of the transversal.
• If two parallel lines are intersected by a transversal,
(i) each pair of corresponding angles is equal.
(ii) each pair of alternate interior angles is equal.
(iii) each pair of interior angles on the same side of the transversal is
supplementary.
Explanation:'
https://ncert.nic.in/ncerts/l/gemp105.pdf