Question

In the given fi gure, AD is the bisector of angle BAC and AM is perpendicular BC. Show that angle DAM =1/2(angle c-angle b)

Answer 1

Step-by-step explanation:

AE is bisector of ∠BAC

∴∠CAE=

2

∠A

∠A+∠B+∠C=180°

∠A=180°−∠B−∠C

2

∠A

=90°−

2

∠B

−

2

∠C

AD is perpendicular to BC, ∴∠CAD=90°−∠C

∠DAE=∠CAE−∠CAD

=90°−

2

∠B

−

2

∠C

−90°+∠C

∠DAE=

2

1

(∠C−∠B)

solution