Question

দুটি পরস্পরছেদী সরলরেখার একজোড়া বিপ্রতীপ কোণ পরম্পর পূরক কোণ হলে, অপর জোড়া বিপ্রতীপ কোণ দুটির প্রত্যেকটির মান হবে (a) 180° (b) 45° (c) 90° (d) 135°​

Answer 1

Answer:

Step-by-step explanation

135

Answer 2

Given : one pair of opposite angles of two intersecting straight lines complement each other,

To Find :  the value of each of the other pair of opposite angles

(a) 180 ° (b) 450 (c) 90 ° (d) 135°

Solution:

opposite angles of two intersecting straight lines  are Equal

Let say one pair opposite angles = a

and other pair opposite angles = b

one pair of opposite angles of two intersecting straight lines complement each other,

Complementary angles adds upto 90°

=> a + a = 90°

=> 2a = 90°

=> a = 45°

a + b = 180°  as they form linear pair

=> 45° + b = 180°

=> b = 135°

the value of each of the other pair of opposite angles   is 135°

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