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°.

Answer:
Distributive Property.
Step-by-step explanation:
Both cosθ and sinθ are negative so θ is in the third quadrant ( tan<span>θ is positive)
</span>
tan<span>θ = 5/12
</span>
Answer:
y = ½x + 6.
Step-by-step explanation:
You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.