PLEASEE HELPPP MEE WITHH THIS QUESTION NUMBER 11 I NEED A GREAT EXPLANATION PLSSSSSS!!!!!!!!!

Mathematics

1 answer:

neonofarm [45]3 years ago

8 0

Answer:

∠2 = 125°

Step-by-step explanation:

There are several ways you can calculate this. One of the simplest may be this:

The two horizontal lines are cut by the transversal that creates angle 1. Where that transversal intersects the bottom horizontal line corresponding angles can be created. The attached diagram shows the alternate exterior angle congruent to the one marked 140°.

That 140° angle is an exterior angle of the triangle containing angle 2, so is equal to the sum of the remote interior angles:

140° = ∠2 +15°

125° = ∠2

<em>Alternate calculation</em>

The interior angle at upper left is congruent to the one marked 15°. Angle 1 is supplementary to the one marked 140°, so is ...

∠1 = 180° -140° = 40°

Then the top two angles in the top triangle are 15° and 40°. Of course, the sum of angles in a triangle is 180°. The remaining angle (a vertical angle and congruent to angle 2) is the difference between these and 180°:

∠2 = 180° -15° -40°

∠2 = 125°