3. State whether the following statement are true or false.
(a) Pairs of vertically opposite angles is always equal.
(b) If the sum of two adjacent angles is 45° then two adjacent angles are acute angles.
(c) Two lines are intersected by the transversal, and then the corresponding angles are equal.
(d) Can we have a triangle where all the interior angles are more than 60°.
Answers
Given : Few Statements
To find : True or False
Solution:
Pairs of vertically opposite angles is always equal. - TRUE
If the sum of two adjacent angles is 45° then two adjacent angles are acute angles. - TRUE
acute angles < 90°
Sum = 45° hence both angles < 45° hence less than < 90°
Two lines are intersected by the transversal, and then the corresponding angles are equal. - TRUE
Can we have a triangle where all the interior angles are more than 60°. - NO
Sum of angles of triangle = 180°
ll the interior angles are more than 60°.
Hence Sum of all angles > 180°
Hence triangle not possible
Learn more:
7. If a transversal intersects two lines parallel lines then prove that ...
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In the given figure, AB || CD || EF intersected by a transversal PQ at ...
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Answer:
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Step-by-step explanation:
Answer(a) True
Answer (b) True
Answer (c)True
Answer (d)False