Question

In the given figure, find the measures of ∠1,∠2,∠3 if ∠4 = 140°.​

Answer 1

Answer:

<4 = 140°

<2=<4 = 140° (vertically opposite angles are equal)

<1+<2 = 180° ( sum of angles on a straight line is 180°)

<1 = 180- <2

= 180 - 140 = 40°

<3 = <1 = 40° (vertically opposite angles are equal)

Answer 2

Step-by-step explanation:

angle 4 = angle 2

so, angle 2 = 140° ( vertically opposite angle )

angle 1 + angle 2 =180 ( linear pair )

consider angle 1 as X

x + 140° =180°

X= 180-140

X= 40°

Angle 1= angle 3 ( vertically opposite angle )

angle 3 = 40°

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