CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

In Fig. 15.17, line n is a transversal to lines l and m. Identify the following

(i) Alternate and corresponding angles in Fig. 15.17 (i).
(ii) Angles alternate of ∠d and ∠g and angles corresponding to angles ∠f and ∠h in Fig. 15.17 (ii).
(iii) Angle alternative to ∠PQR, angle corresponding to ∠RQF and angle alternate to ∠PQE in Fig. 15.17 (iii).
(iv) Pairs of interior and exterior angles on the same side of the transversal in Fig. 15.17 (ii).

Open in App
Solution

(i) Alternate Interior angles are: ∠BGH and ∠CHG, ∠ AGH and ∠DHG
​ Alternate Exterior angles are: ∠AGE and ∠DHF, ∠ EGB and ∠CHF
Corresponding angles are: ​∠EGB and ​∠GHD, ​∠EGA and ​∠GHC, ​∠BGH and ​∠DHF, ​∠AGH and ​∠CHF

(ii) The alternate angle to ∠d is ∠​e and alternate angle to ∠g is ∠​b.
The corresponding angles to ∠​f is ∠​c and ∠h is∠​a.
(iii) In the given figure, 'l' is a transversal line to 'm' and 'n'.
So, the alternate angle of ∠​ PQR is ∠ QRA.
The corresponding angle of ∠​ RQF is ∠BRA.
The alternate angle of ∠​PQE is∠BRA.

(iv) Interior angles on the same side of the transversal line 'n' are: ∠d and ∠ f, ∠a and ∠e.
Exterior angles on the same side of the transversal line 'n' are: ∠c and ∠g, ∠​b and ∠​h.

flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
similar_icon
Related Videos
thumbnail
lock
Summary
MATHEMATICS
Watch in App