Q. 315.0( 3 Votes )
Prove that the bisectors of the angles of a linear pair are at right angles.
Answer :
Given, ∠ACD and ∠BCD are linear pairs
CE and CF bisect ∠ACD and ∠BCD respectively
To prove:
∠ECF = 90°
⸫ ∠ACD + ∠BCD = 180° [Angle on a straight line]
⇒ ∠ACD/2 + ∠BCD/2 = 180°/2 = 90°
⇒ ∠ECD + ∠DCF = 90° [⸪ CE and CF bisect ∠ACD and ∠BCD respectively]
⸫ ∠ECD + ∠DCF = ∠ECF = 90°
Hence Proved.
Rate this question :
RD Sharma | Polynomials - I43 mins
NCERT | Triangles-I48 mins
NCERT | Natural Resources - I50 mins
Know Calculation Hacks I46 mins
Foundation | Laws Governing Gases - I45 mins
NCERT | Discussion on Important Questions52 mins
NCERT I Quiz on Lines and Angles52 mins
Foundation I Solving Coordinate Geometry Questions50 mins
NCERT I Questions on Angle Sum Property of Triangle51 mins
In Fig. 8.125, the value of x is
The supplement of an acute angle is ……….
RD Sharma - MathematicsWrite the complement of an angle of measure x°.
RD Sharma - MathematicsThe supplement of a right angle is ……….
RD Sharma - MathematicsThe complement of an acute angle is ……….
RD Sharma - MathematicsWrite the supplement of an angle of measure 2y°.
RD Sharma - MathematicsAn angle is equal to five times its complement. Determine its measure.
RD Sharma - MathematicsEach question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.
