Question

if in the figure a//b and c//d,then name the angles that are congruent to (1)angle1(2)angle2​

Answer 1

Answer:

Step-by-step explanation:Solution

verified

Correct option is A)

Given that a∣∣b and c∣∣d

∠1=∠3      ...(i)   (vertically opposite angles)

∠1=∠5      ...(ii)  (a∣∣b, so, corresponding angles)

∠5=∠7      ...(iii) (vertically opposite angles)

From (ii) and (iii)

∠1=∠7     ...(iv)

∠1=∠9     ...(v)  (c∣∣d,so,corresponding angles)

∠9=∠13     ...(vi)         (a∣∣b,so,corresponding angles)

From (v) and (vi)

∠1=∠13     ...(vii)

∠9=∠11     ...(viii)    (vertically opposite angles)

From (v) and (viii)

∠1=∠11     ...(ix)

∠13=∠15    ...(x)    (vertically opposite angles)

From (vii) and (x)

∠1=∠15     ...(xi)

From (i),(ii),(iv),(v),(vii),(ix),(xi)

∠1=∠3=∠5=∠7=∠9=∠11=∠13=∠15