Question

इन फिगर फोटो एबी पैरेलल सीडी ट्रांसवर्सल टिकट ए बी एंड सी डी एच एफ एफ एफ एंड एफ एच आर द बाईसेक्टर्स ऑफ अल्टरनेट एंगल एंगल बी एफ एंड एंगल बीएसी रिस्पेक्टिवली प्रोव एट एजी एट ए​

Answer 1

We know that when a line is intersected by a transversal then

Corresponding angles are equal

Alternate interior angles are equal

Vertically opposite angles are equal

and also Sum of all the angles in a straight line is 180

Given,

∠CMQ=60

=>∠LMD=60

[ ∵ vertically opposite angles are equal]

=>∠QMD=180−60

[ ∵sum of angles in a straight line is 180]

∴ ∠QMD=120

=>∠CML=120

[ ∵ vertically opposite angles are equal]

=>∠MLB=120

[ ∵ Alternate interior angles are equal]

=>∠LMD=MLA=60

[ ∵ Alternate interior angles are equal]

∴ ∠MLA=PLB=60

[ ∵ vertically opposite angles are equal]

=>∠MLB=∠ALP=120

[ ∵ vertically opposite angles are equal]

∴ ∠CMQ=60

, ∠QMD=120

∠CML=120

, ∠LMD=60

∠MLA=60

, ∠MLB=120

∠ALP=120

and ∠PLB=60

.