In the figure, x = ∠ACD; arrows indicate parallel lines

Question

a.) If x = 70° and t = 30°, find p, q, and s

b.) If p = 130°, q = 145°, find x, s, and t.

c.) If x = 80° and t = (s – 10) °, find s, t, p, and q.

d.) If q = 8t and p = 5s, find all the five angles.

Answer 1

I will do the first one for you, then you should use the same techniques to do the others.

p+q+x=360 => p+q = 290

p+s=180

q-s=110

q+t=180 => q=150

s=70 and p=110

As you pointed out there is an arithmetic error above.

Since q = 150 and q-s=110; then s =40

and p=110.

So you noted that my answer was incorrect, but apparently did not follow up to see why.

I am sorry for the error...but even tutors make arithmetic mistakes sometimes.