27.0k views
3 votes
Stuck on this guestion, and I don't know how to do it can someone help me

(it's geometry btw)



Stuck on this guestion, and I don't know how to do it can someone help me (it's geometry-example-1
User Odedsh
by
7.9k points

1 Answer

3 votes

Answer:

a) 8°

b) 155°

c) 25°

d) 155°

Explanation:

The angle of a straight line is 180°, so

5x-15+20x-5 = 180

25x-20=180

25x= 200

x= 8

LAT = 20x-5 = 20(8)-5 = 155°

TAO= 3x+1= 3 (8)+1= 25°

LAP= 5(8)-15 =25°

The angle at a point equals 360° so

LAP+ PAO+TAO+LAT= 360°

25+PAO+ 25+ 155=360°

PAO= 360- 205

PAO= 155°

There's another way to get the answer of d.

The vertically opposite angles are equal when two lines intersect each other, so

PAO=LAT=155°

Hope this helps, have a great day!

User Sunreef
by
8.1k points

Related questions

1 answer
0 votes
71.0k views
asked Aug 4, 2019 121k views
Pradeepradyumna asked Aug 4, 2019
by Pradeepradyumna
8.3k points
1 answer
4 votes
121k views
asked Nov 17, 2021 153k views
Ninad asked Nov 17, 2021
by Ninad
8.4k points
1 answer
5 votes
153k views