Construct an angle of 45o at the initial point of a given line segment.

Asked by Topperlearning User | 6th Aug, 2014, 01:38: PM

Expert Answer:

S t e p s space o f space c o n s t r u c t i o n :
1. space D r a w space a space r a y space O A.
2. space W i t h space O space a s space c e n t r e space a n d space a n y space r a d i u s comma space d r a w space a n space a r c comma space c u t t i n g space O A space a t space B.
3. space W i t h space t h e space s a m e space r a d i u s space a n d space B space a s space c e n t r e space d r a w space a n space a r c space c u t t i n g space t h e space
p r e v i o u s space a r c space a t space C.
4. space W i t h space t h e space s a m e space r a d i u s space a n d space C space a s space c e n t r e comma space d r a w space a n space a r c comma space c u t t i n g space t h e space f i r s t space a r c space a t space D.
5. space W i t h space t h e space s a m e space r a d i u s space a n d space c e n t r e s space C space a n d space D space d r a w space a r c s space i n t e r s e c t i n g space
e a c h space o t h e r space a t space P.
6. space J o i n space O P. space angle P O A space equals 90 to the power of o
B i s e c t i n g space 90 to the power of o space a n g l e space w i l l space g i v e space 45 to the power of o
7. space W i t h space B space a n d space E space a s space c e n t r e s space a n d space r a d i u s space m o r e space t h a n space h a l f space o f space B E comma space d r a w space t w o space a r c s space
i n t e r s e c t i n g space e a c h space o t h e r space a t space Q.
8. space J o i n space O Q.
T h e n space angle Q O A space equals 45 to the power of o space i s space t h e space r e q u i r e d space a n g l e.

Answered by  | 6th Aug, 2014, 03:38: PM

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