Question

Lines L and M are parallel.

Answer 1

Step-by-step explanation:

Hey, there!

Let's simply solve it.

As there is given that L and M are parallel. Use all the condition or properties of parallel lines.

Here use:

• vertically opposite angle.
• coointerior angles sum is 180°.

Now,

angle 6= 38° { Vertically opposite angle}.

angle 6 + angle 5 = 180° { as sum of coointerior angles are equal to 180°}

38°+angle 5 = 180°

or, angke 5 = 180°-38°

Therefore, angle 5 = 142°

Now, angle 3 = angle 5 { Vertically opposite angle}

Therefore, the measure of angle 3 is 142°.

$hope \: it \: helps...$