Question

I will give brainlist
AB=CD,BPE=60⁰,PQ=PR
1.Show, ½ APE = 60⁰
2.CQF = ?

Answer pls​

Answer 1

Answer:

Step-by-step explanation:

1. From the given diagram,

AB = CD and AB||CD

So that,

<APE + <BPE = 180 (sum of angles on a straight line)

But, <BPE = 60

<APE + 60 = 180

<APE = 180 - 60

         = 120

<APE = $120^{o}$

⇒$\frac{1}{2}$<APE = $\frac{1}{2}$ x $120^{o}$

              = $60^{o}$

Thus,

$\frac{1}{2}$<APE = $60^{o}$

2. <CQF ≅ <APQ (transversal property)

and

<CQF ≅ <BPE (vertically opposite angles)

Thus,

<CQF = $60^{o}$ (vertically opposite angle property)