Question

angle A = 50°
7. In the figure, ABC is an isosceles triangle in which AB = AC and LM is parallel to BC If
find angle LMC.
509
​

Answer 1

Angle LMC IS 115

Step-by-step explanation:

AB=AC SO angles opposite to sides are same let x be that angle so angle ABC and ACB are same.similarly,LM IS parallel to BC so so corresponding angles are same i.e.angle ALM and AML are also x so in any triangle sum of all angles is 180 so in∆ALM x+x+50=180 so x=65 and sum of linear angles is 180 so angle AML AND LMC=180 SO 65+LMC =180 SO angle LMC =115.