Question

a) The sum of three angles of a quadrilateral is 5 times the fourth angle find the for angle . b) In how many years will ₹4000 amount ₹5, 324 at the rate of 10% per annum compounded annually?​

Answer 1

Answer:

(a) The sum of three angles of a quadrilateral = 5 times the fourth angle

x = 5y

And

The sum of quadrilateral angles is,

$x + y = 360 \\ 5y + y = 360 \\ 6y = 360 \\ y = 60$

The fourth angle is 60°.

(b) ₹4000 amount ₹5,324 at the rate of 10% per annum compounded annually

Calculate: Time (t)

Where: t = log(A/P) / n[log(1 + r/n)]

Total P+I (A): $ 5,324.00

Principal (P): $ 4,000.00

Rate (R): % 10

Compound (n): Compounding Annually (1/Yr)

Answer:

t = 3 years

Answer 2

Answer:

A) 60°

Step-by-step explanation:

a) let the 4th angle be x ,

sum of other three angles = 5x

according to angle sum property of quadrilateral

sum of all angles = 360°

5x+x = 360

6x = 360

x=60°