Question

Find the value of all marked angles and give a reason for each angle.
Angle X = ???
Reason:???​

Answer 1

Answer:-

x=30°

Step by Step explanation:-

In triangle

100°=70°+x°

(because of exterior angle property )

100°-70°=x°

30°=x°

HOPE IT HELPS YOU.......

Answer 2

Exterior angle property, that it the sum of 2 opposite angles of a triangle is equal to the exterior angle. Using this, we can say that:

70 + x = 100° (As 70 and x r the opposite angles to 100° that is the exterior angle here)

x= 100-70

x= 30°

Reason : Exterior angle property

Now double check :

30+70+y = 180

100+y = 180

y = 80°

70°+30+80 = 180°

So the value is correct.