The value of angle m∠3 = 142°.
When two lines meet at a point, an angle is created. An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character ∠. The circularity or rotation of an angle is often measured in degrees and radians.
According to the question, Lines L and M are parallel to each other.
The value of m∠8=38°
By the property of vertically opposite angles, m∠6=38°.
Now, by the property of alternate angles, m∠2= m∠6=38°.
Again, By the property of vertically opposite angles,m∠4=m∠2=38°.
As the sum of angles of a straight line = 180°
m∠3+m∠4 = 180°
m∠3+38°=180°
m∠3=180°-38°
m∠3=142°
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