Question

one angle of a quadrilateral is 2π power © ÷9 and the measure of the other three angles are in the ratio 3:5:8 find the measure in degree​

Answer 1

Step-by-step explanation:

⇒  Let ∠A=92π=92π×π180o=40o

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 360o.

∴  ∠A+∠B+∠C+∠D=360o.

⇒  40o+3x+5x+8x=360o.

⇒  16x=320o.

⇒  x=20o.

⇒  ∠B=3x=3×20o=60o

⇒  ∠C=5x=5×20o=100o

⇒  ∠D=8x=8×20o=160o.

Measure in radian,

∠B=60o×180oπ