Question

Angle 1 = angle 2 = 50°, angle 3 = angle 4 = 130°.... This is the ans show the process... ​

Answer 1

Answer:

vertical opposite angles are equal

Step-by-step explanation:

given: angle 2 = 50°

angle 4 = 130°

angle AOB + angle BOD = 180°

angle AOB+ 50°=180°

AOB=180°-50°

AOB=130°

Answer 2

Answer:

we know that angles around a point is always 360°.

And since these are vertically opposite angles therefore angle 1 = angle 2 and angle 3 = angle 4

therefore since angle 1 is 50° therefore angle 2 will also be 50° as angle 1 = angle 2.

now 360°-100° (sum of angle 1 and angle 2) = 260°

therefore the sum of the remaining angles i.e angle 3 and angle 4 is 260°

and lets assume angle 3 as x. since angle 3 = angle 4 therefore angle 4 will also be x.

since, (angle 3 + angle 4 = 260°)

therefore, we can also say that (x + x = 260°)

therefore 2x = 260°

therefore x = 260°/2

therefore x = 130°

now since we found only one x, let's take the angle of this x as angle 3.

therefore angle 3 = 130°

since angle 3 = angle 4

therefore angle 4 is also equal to 130°

hope it helps you