Question

if L||M find the value of unknown angles. ​

Answer 1

Step-by-step explanation:

d)see above figure in which I drawn

EDC=90°

hence, x=90°. ( because sum of interior angle on same side of transversal=180°)

then, BCA=180°-90°

=90° (because DCA is straight angle)

FBA=y (corresponding angles)

then,ABC=180-y. (FBC is straight angle)

consider triangle ABC

ABC+BCA+BAC=180. (sum of interior angles of triangle)

180-y+90+50=180

y=140°

z=180°-140°(Because GED=180°)

z=40°.

e)x=180-55=125°

x+y=180° (sum of interior angles on Same side of the transversal=180°)

y=180°-125°

y=55°

x+z=180°(sum of interior angles on Same side of the transversal=180°)

z=55°

f)2x+50°=x+100°. (corresponding angles)

x=50°