119k views
0 votes
(Angles) Only 14-17 please, do 15 if you want

(Angles) Only 14-17 please, do 15 if you want-example-1
User Senaps
by
4.5k points

1 Answer

8 votes

Answer:

N.14 ABC = 5x+20, N.15 ABE = 90. N.16. 123, 29, 28. N.17 K = 80

Explanation:

Because of vertical angles, 5x+20 = 3x+66.

5x=3x+46

2x = 46

x = 23

Sum of angles in a circle is 360

360-135-135=180

ABE = CBD because vertical angles.

180 / 2 = 90

16.

Sum of angles in triangle is 180

180=123-x-2-x-3

x = 31

123, 29, 28.

17.

Sum of angles in triangle is 180

180-72-28 = 80

K = 80

User Matt Pavlovich
by
5.3k points