in the given figure m is parallel to n is parallel to o find the measure if a, b, c
Answers
Given that m is II to n and n is II to o.
Therefore m is also II to o
Now since angle a + angle b = 180 degrees
(sincefore corresponding angles on the same side of the transversal are supplemantary)
Therefore 50 + angle a = 180
or angle a = 180-50
= 130 degrees
Now there is one more transversal given with one angle as 90 degrees.
let's say that angle is d.
now angle b+c = angle d
why??
BKZ alternate interior angles are equal in a transversal
now, 50 + angle c = 90
Angle c = 90-50
Angle c = 40 degrees.
Thank you! I hope that it is clear
Step-by-step explanation:
Answer
Let ∠1=3x and ∠2=2x.
Since ∠1+∠2=180
o
or, 5x=180
o
or, x=36
o
.
∴∠1=108
o
and ∠2=72
o
.
Since m∥n and l is the intersector, then
∠3=∠1=108
o
and ∠4=∠2=72
o
[Opposite angles]
and ∠7=∠5=∠2=72
o
.
If ∠5=72
o
then ∠6=108
o
=∠8.