Question

In the given figure, l || m and n is a transversal. If
21 is twice of 22, then find all the angles.​

Answer 1

Answer:

Step-by-step explanation:

$Let\ \angle 2=x \ then \ \angle 1=2x\\\\Now \ \angle 1 \ and \ \angle 2 \ are \ linear \ pair \\\\Thus \ \angle 1 + \angle 2=180^\circ\\\\2x+x=180^\circ\\\\3x=180^\circ\\\\x= \frac{180}{3} \\\\=60^\circ\\\\ Thus\ \angle 2= 60^\circ \ and \ \angle 1=120^\circ\\\\\angle 3= \angle 2 =60^\circ \ and \ \angle 4 = \angle 1=120^\circ \, ( VOA)\\\\\angle 5= \angle 1 =120^\circ \ and \ \angle 6= \angle 2=60^\circ \, ( Corresponding \ angles)$

$\angle 7= \angle 3 =60^\circ \ and \ \angle 8= \angle 4=120^\circ \, ( Corresponding \ angles)$