Question

The angles of a quadrilateral are in the ratio 2:3:7:6. Find the measure of each
angle of the quadrilateral.
​

Answer 1

hi dear

$let \: the \: angles \: be \: 2x.3x.7x \: and \: 6x$

$2x + 3x + 7x + 6x$

$= 360$

$18x = 360$

$x = \frac{360}{18}$

$x = 20$

$2x = 2 \times 20 = 40$

$3x = 3 \times 20 = 60$

$7x = 7 \times 20 = 140$

$6x = 6 \times 20 = 120$

sum of opposite interior angles 180

$140 + 40 = 180$

#choco

Answer 2

$\huge\bold\red{Question:⤵}$

The angles of a quadrilateral are in the ratio 2:3:7:6. Find the measure of eachangle of the quadrilateral.

$\bold\pink{★RequiredAnswer:⤵}$

★Solution:-

Let the measures of the angles of the given quadrilateral be (2x)°,(3x)°,(7x)°, and (6x)° respectively.

Then, 2x + 3x + 7x + 6x = 360

⇒18x = 360 ⇒x 20.

•First angle = (2x)° = (2×20)° = 40 °;

•Second angle = (3x)° = (3×20)° = 60°;

•Third angle = (7x)° = (7×20)° = 140°;

•Fourth angle = (6x)° = (6×20)° = 120° .

★Angels will be :- 40°,60°,140°, and 120°

★Note:-

[• the sum of angles of a quadrilateral is 360°]

$\bold\red{★hope \: it \: will \: help \: u..}$