Question

The angles of a rectangle are in the ratio 2: 3: 4:6. Find the measure of each angle.​

Answer 1

Answer:

Angles: 48, 72, 96, 144

Step-by-step explanation:

All angles of rectangle are equal to 90 degrees by definition! Assuming you meant quadrilateral:

Sum of quadrilateral angles = 180 (n-2)

= 180 (4-2)

= 180 X 2

= 360 degrees

Let '$k$' be the constant of proportionality

(The angles are $2k, 3k, 4k, 6k$ respectively)

$\\ 2k + 3k + 4k + 6k = 360$

$15k = 360$

$k=24$

Thus, the angles are as follows:

2k = 48

3k = 72

4k = 96

6k = 144

Kindly mark as brainliest if it helps! :)

Answer 2

Answer:

∴ required angles are 2×24∘,3×24∘,4×24∘,6×24∘=48∘,72∘,96∘,144∘