Question

the value of x : and explain please give answer fastly .

Answer 1

Hey friend

Given-:

Angle CAB=30°
Angle ABC=45°
Angle CDM=20°

To find-:

Angle AMD(x)= ?

Solution--:

AngleCAB+AngleABC+AngleACB=180°

{Angle sum prop.)

30°+45°+AngleACB=180°
75°+Angle ACB=180°
Angle ACB= 105°

Now,
Angle ACB+AngleMCD=180° (linear pair)
105°+Angle MCD=180°
Angle MCD=75°

Now,
Angle MCD+Angle CDM= Angle X

( Exterior angle prop.)

75°+25°=Angle X
Angle X=95°


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