Question

Please answer and explain #17 :)

Answer 1

156°

Explanation:

I see you have already found the x so now plug it in.

(4)+20=24

(4)(3)+12= 24

Since they are vertical angles, then they are congruent, thats why they are equal. By now I think you should know that a straight line is equal to 180, so lets take 1 angle to find the missing one.

We can also see that ∠PTR and ∠RTS are also vertical angles, so they are also congruent. So we only use one, 180-24=156

the answer is 156 because ∠PTR and ∠PTQ are in the same line making them supplementary.

Does that make sense?

Answer 2

Solution given:

we have

m<PTQ=m<RTS

x+20=3x+12.

20-12=3x-x

x=

`(8)/(2)`

now

16.m<PTQ=x+20=4+20=24°

17.

again

m<PTR+m<PTQ=180°[supplementary]

so

m<PTR=180°-24°=156° is your answer