Find missing angle
Please help man

9514 1404 393

  angles 1-8 are 62°, 71°, 109°, 35°, 109°, 29°, 47°, 62°

Step-by-step explanation:

It is convenient to make use of the relations ...

an exterior angle of a triangle is equal to the sum of the remote interior anglesvertical angles are congruenta linear pair is supplementaryat a transversal of parallel lines, alternate interior angles are congruentat a transversal of parallel lines, adjacent interior angles are supplementary

Using these relations, we have ...

  ∠2 = 71° (vertical angles)

  ∠3 = ∠5 = 180° -71° = 109°

  ∠1 +47° = ∠3 = 109°   ⇒   ∠1 = ∠8 = 62° (alt int angles)

  ∠4 +36° = 71°   ⇒   ∠4 = 35°

  ∠6 +42° = ∠2 = 71°   ⇒   ∠6 = 29°

  ∠7 = 47° (alt int angles)

There are other ways to work these, using the sum of angles in a triangle, for example.

In order, angles 1-8 are ...

  62°, 71°, 109°, 35°, 109°, 29°, 47°, 62°

The answer is $9.90 with rounding to the nearest tenth

The correct answer is $90