In the image m || n || p. Given ∠10 = 2x + 70

∠7 = 5x – 20

Find m∠3.

Given:

In the given figure .

To find:

The .

Solution:

If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.

         (Alternate exterior angle)

Divide both sides by 3.

Now,

              (Corresponding angles)

Therefore, the measure of angle 3 is 130 degrees.

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,