Draw an obtuse angle. Bisect it. Measure each of the angles so obtained.

Asked by Topperlearning User | 6th Aug, 2014, 12:50: PM

Expert Answer:

An angle, whose measure is more than 90o is an obtuse angle.
Steps of Construction.
i. space space D r a w space angle P Q R space equals 135 to the power of o
i i. space W i t h space Q space a s space c e n t r e space a n d space a n y space c o n v e n i e n t space r a d i u s space d r a w space a n space a r c space c u t t i n g space Q P space a n d space Q R
a t space A space a n d space B space r e s p e c t i v e l y.
i i i. space W i t h space A space a s space c e n t r e 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 A B comma space d r a w space a n space a r c.
i v. space W i t h space B space a s space c e n t r e space a n d space t h e space s a m e space r a d i u s space a s space i n space s t e p space i i i space d r a w space a n o t h e r space a r c
i n t e r s e c 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 M.
v. space J o i n space Q M space a n d space p r o d u c e space i t space t o space X.
v i. T h e space r a y space Q X space i s space t h e space r e q u i r e d space b i s e c t o r space o f space angle P Q R.
angle R Q X space equals angle P Q X space equals 67.5 to the power of o

Answered by  | 6th Aug, 2014, 02:50: PM