Question

Stuck on this guestion, and I don't know how to do it can someone help me

(it's geometry btw)

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Answer 1

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!