Question

if one angle of a right angled triangle is 2π/9 then other angle is​

Answer 1

Answer:

other will 180-2π/9....

Answer 2

Answer:

⇒ Let ∠A=

9

2π

=

9

2π

×

π

180

o

=40

o

Let measure of other angles be 3x,5x and 8x.

So, ∠B=3x,∠C=5x and ∠D=8x

We know that sum of four angles of an quadrilateral is 360

o

.

∴ ∠A+∠B+∠C+∠D=360

o

.

⇒ 40

o

+3x+5x+8x=360

o

.

⇒ 16x=320

o

.

⇒ x=20

o

.

⇒ ∠B=3x=3×20

o

=60

o

⇒ ∠C=5x=5×20

o

=100

o

⇒ ∠D=8x=8×20

o

=160

o

.

Measure in radian,

∠B=60

o

×

180

o

π

=

3

π

∠C=100

o

×

180

o

π

=

9

5π

∠D=160

o

×

180

o

π

=

9

8π