Question

In a parallelogram KLMN, ∠ = ( − )° and ∠= (5a +30) °. Find the
measures of ∠ and ∠.

Answer 1

Answer:

Step-by-step explanation:

klmn <=+6+30+36>

Answer 2

Answer:

⇒ In parallelogram KLMN, ∠K=60

∘

[Given]

⇒ ∠K=∠M [Opposite angles of parallelogram are equal]

⇒ So, ∠K=∠M=60

∘

---- ( 1 )

⇒ ∠K+∠N=180

∘

[Sum of adjacent angles of parallelogram is supplementary]

⇒ 60

∘

+∠N=180

∘

∴ ∠N=120

∘

⇒ ∠N=∠L [Opposite angles of parallelogram are equal]

⇒ So, ∠N=∠L=120

∘

---- ( 2 )

From ( 1 ) and ( 2 ) we get,

∠K=60

∘

,∠L=120

∘

,∠M=60

∘

and∠N=120

∘

.

hope it's helpful to you~~