In the figure- - 1- 600 and - 2- 2-3 th of a right angle- Prove that l -m-

In the figure, a transversal n intersects two lines l and m ∠ 1=60^0 and ∠ 2= 2/3rd of a right angle =2/3× 90^0 = 60^0 ∴∠ 1= ∠ 2 But there are corresponding a ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Parallel Lines with Transversal

In the figure...

Question

In the figure, $∠ 1 = 60^{0}$ and $∠ 2 = {(\frac{2}{3})}^{t h}$ of a right angle. Prove that l ||m.

Open in App

Solution

In the figure, a transversal n intersects two lines l and m
$∠ 1 = 60^{0}$ and
$∠ 2 = \frac{2}{3} r d$ of a right angle
= $\frac{2}{3} \times 90^{0} = 60^{0}$
$∴ ∠ 1 = ∠ 2$
But there are corresponding angles
$∴ l | | m$

Suggest Corrections

Similar questions

Q. PQR is a right angle triangle right angled at q. X and Y are points on PQ and QR such that PX: XQ = 1:2 and QY : YR = 2:1. prove that 9(PY^2 + XR^2) = 13PR^2

Q. In the given figure, ∠1 = 60° and ∠2 =

{(\frac{2}{3})}^{r d}

of a right angle. Prove that l || m.

Q. Prove that

¯ ¯ ¯ a = (4, - 3, 1), ¯ ¯ b = (2, - 4, 5)

and

¯ ¯ c = (1, - 1, 0)

are vertices of a right angle.

Q. In figure,

m | | n

and

p | | q

. If

∠ 1 = 75^{o}

, prove that

∠ 2 = ∠ 1 + \frac{1}{3}

of a right angle.

Prove that the curves $x = y^{2}$ and xy=k cut at right angle if $8 k^{2} = 1$ .

Join BYJU'S Learning Program

In the figure, ∠1=600 and ∠2=(23)th of a right angle. Prove that l ||m.

In the figure, a transversal n intersects two lines l and m ∠1=600 and ∠2=23rd of a right angle =23×900=600 ∴∠1=∠2 But there are corresponding angles ∴l||m

In the figure, $∠ 1 = 60^{0}$ and $∠ 2 = {(\frac{2}{3})}^{t h}$ of a right angle. Prove that l ||m.

In the figure, a transversal n intersects two lines l and m
$∠ 1 = 60^{0}$ and
$∠ 2 = \frac{2}{3} r d$ of a right angle
= $\frac{2}{3} \times 90^{0} = 60^{0}$
$∴ ∠ 1 = ∠ 2$
But there are corresponding angles
$∴ l | | m$