# In the following figure which of the following statements is true?

A. AB = BD

B. AC = CD

C. BC + CD

D. AD < Cd

**Answer: Option B **

__Solution(By Examveda Team)__

In Triangle ABD,∠BAD + ∠B + 90° = 180°

or, ∠BAD + ∠B = 90° - - - - - - - (1)

Now, in Triangle ABC,

∠ACB + ∠B + ∠A = 180°

∠ACB + ∠B = 180° - 90°

∠ACB = 90° - ∠B - - - - - (2)

From (1) and (2), ∠BAD = ∠ACB

So, AC = CD

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## Comments ( 10 )

Related Questions on Triangles

**If ABC and PQR are similar triangles in which ∠A = 47° and ∠Q = 83°, then ∠C is:
**

A. 50°

B. 70°

C. 60°

D. 80°

**In the following figure which of the following statements is true?
**

A. AB = BD

B. AC = CD

C. BC + CD

D. AD < Cd

In equation 1 --- angle BAD + angle B = 90

cannot be true unless angle BAD = 0

since angle B itself is 90

Can't agree..

can't agree

i agreed it well explaination

In the figure angle B is 90° then how can u say that BAD+B+90=180

good solution explained by Sannyasi. but the explanation provided by examveda is complete crap..

In Triangle ABD,

∠B=90,∠A=30+30=60degre

then ∠D=30degre

now Consider Triangle ACD

∠D=30,∠DAC=30

These two side is Opposite of two equal angle So, AC = CD.

Not agree could u explain further

I don't understand. Can explain more clearly please? Thank you

i dont agree