1
by Soh23Frh
I missed a important thing in question!!

2016-01-03T22:27:16+05:30

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To find the difference of the angles of ∠CAD and ∠ABD, we have to follow the steps below:

1. Firstly, we have to find the respective values of:
b. ∠ABD

2. Lastly, we have to subtract the angle of ∠ABD from the angle of ∠CAD.

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1. FINDING RESPECTIVE VALUES OF SPECIFIC ANGLES

a.

So, we have to find the value of ∠ADC.

So, ° °
let alone the degrees, for a while.

=>

=>

=>

∴  is equal to 60°.

That means, the value of ∠ADC is 60°.
Therefore, the value of ∠CAD is also 60°.

b. The value of ABD

We know, ∠a + ∠b + ∠c = 180°
Theorem: ﻿The sum of all angles in a triangle is always equal to 180°.

So, ∠ABD + ∠BAC + ∠CAD = 180°

let ∠ABD ﻿be .
also, let alone the degrees, for a while.

=>

=>

=>

∴  is equal to 30°.
Therefore, the value of ∠ABD is 30°.

∵ ∠ABD = 3

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2. ﻿THE DIFFERENCE OF THE SPECIFIC ANGLES

﻿To find the difference of the angles of ∠CAD and ∠ABD, we have to subtract ∠ABD from ∠CAD.

﻿60° - 30°

let alone the degrees, for a while.

=
﻿

=

∴  ∠CAD - ∠ABD = 30°

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