Question

А
Prove that:
(i) A ABD = A ACD
(ii) ZB = ZC
(iii) ZADB = ZADC
(iv) ZADB = 90°
A
B
D
С​

Answer 1

Step-by-step explanation:

Prove ∆ADB and ∆ ADC by SSS congruency condition

All sides are equal and one side is common

Hence proved ∆ADB ~=∆ADC

By cpct-:

Angle B = Angle C

Angle ADB = Angle ADC

Angle ADB +Angle ADC =180°(Straight angle)

2 ×Angle ADB =180

Angle ADB=180÷2

Angle ADB=90