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Byju's Answer
Standard IX
Mathematics
Basic Concepts in Geometry
Find the meas...
Question
Find the measure of
∠
2,
∠
3 and
∠
4 from the given figure.
[2 Marks]
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Solution
From the figure given in the question, we can observe that
∠
3 = 75
∘
(Vertically opposite angles)
[0.5 Marks]
∠
2 + 75
∘
= 180
∘
(Angles on a straight line forming a linear pair)
[0.5 Marks]
⇒
∠
2 = 180
∘
- 75
∘
= 105
∘
[0.5 Marks]
And
∠
2 =
∠
4
(Vertically opposite angles)
⇒
∠
4
= 105°
[0.5 Marks]
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Q.
In the given figure, l || m and a transversal t cuts them. If ∠1 : ∠2 = 2 : 3, find the measure of each of the marked angles.