Question

Find the measure of the two interior angles and verify the property.​

Answer 1

Answer:

(4y-4)+(3y)=52°(if a side of a triangle is produced then the exterior angle so formed is the sum of the two interior opposite angles)

7y-4=52

7y=52+4

7y=56

y=56/7

y=8°

therefore the angles are

4y-4=4×8-4=32-4=28°

3y=3×8=24°

Let's check whether it's correct or not

4y-4+3y=52

32-4+24=52

28+24=52

52=52

L.H.S=R.H.S

hence verified

Answer 2

Exterior angle property
Exterior angle is the sum of two interior angles
So 52=4y-4+3y

4y-4+3y=7y-4
- would be plus if it goes the other side
So
52+4= 7y
56=7y
7 is multiply here so other side it will be divide
56/7=y
Answer is 8