140k views
0 votes
Can someone help me please and show work , thank you

Can someone help me please and show work , thank you-example-1
User SeekLoad
by
5.4k points

1 Answer

3 votes

Answer:

55 degrees

Explanation:

Hi there!

The sum of the interior angles of a triangle is always 180 degrees.

We can solve for the interior angles at the bottom by subtracting both 135 and 100 from 180 (because straight lines have a measure of 180 degrees too):

180-135 = 45 degrees

180-100 = 80 degrees

Now, to solve for the final angle at the top, subtract 80 and 45 degrees from 180:

180-80-45 = 55 degrees

This angle at the top measuring 55 degrees is the opposite angle of x. Opposite angles are always congruent, so therefore, x measures 55 degrees.

I hope this helps!

User NareshRavva
by
6.5k points