Question

HELP ASAP. I’m so confused can someone tell me what to do on this? I’ll mark brainliest

Answer 1

9514 1404 393

Answer:

• 52°: angles 4, 13, 18
• 128°: angles 1, 3, 14, 17
• 44°: angles 5, 12, 15
• 136°: angles 2, 6, 11, 16
• 84°: angles 7, 10
• 96°: angles 8, 9

Step-by-step explanation:

Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.

Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.

Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.

In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.

In summary:

• 52°: angles 4, 13, 18
• 128°: angles 1, 3, 14, 17
• 44°: angles 5, 12, 15
• 136°: angles 2, 6, 11, 16
• 84°: angles 7, 10
• 96°: angles 8, 9