Question

6. In figure, if 1 || h, what is the value of x
(a) 90°
(b) 859
c) 750
(d) 70​

Answer 1

Answer:

Step-by-step explanation:

Concept :  

Linear pair of angles:

If Non common arms of two adjacent angles form a line, then these angles are called linear pair of angles.

Given : l1 ‖ l2

Let ∠1 = 37° , ∠4 = 58°  and ∠5 = x°

∠1 = ∠2 = 37° [Corresponding angles]

∠2 = ∠3 [Vertically opposite angle]

Then, ∠3 = 37°

∠3 + ∠4 + ∠5 = 180° [Linear pair]

37° + 58°  + x = 180°

95° + x = 180°

x = 180° - 95°

x = 85°

Hence the value of x is 85°

Option (B) 85° is correct.

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Answer 2

Answer is 85°

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