Question

The
measures
of
angle of a
quadrilateral are
(n+20) , (n-20),
(2n+5) (2n-5)find the
value of n​

Answer 1

Answer:

n = 60°

Step-by-step explanation:

Given,

• Angles of the quadrilateral are (n+20), (n-20), (2n+5) and (2n-5).

To find,

• The value of n.

Knowledge required,

• The sum of all the angles of a quadrilateral is 360°.

Finding n :

(n+20) + (n-20) + (2n+5) + (2n-5) = 360°

→ n + 20 + n - 20 + 2n + 5 + 2n - 5 = 360°

→ 6n = 360°

→ n = 360°/6

→ n = 60°

.°. n = 60°

Hence, the value of n is 60°.

Answer 2

Answer:

$\huge \bf\maltese \: answer \maltese$

Measure of Quardilateral

• (n+20)
• (n-20)
• (2n+5)
• (2n-5)

Now,

As we know that sum of all sides of a quadrilateral is 360⁰. This property is called angle sum property.

Then,

$\rm \: (n + 20) + (n - 20) + (2n + 5) + (2n - 5) = 360$

$\rm \: n \: + 20 + n - 20 + 2n + 5 + 2n - 5 =360$

$\rm \: 6n \: = 360$

$\rm \: n \: = \dfrac{360 }{60}$

$\rm \: n \: = 60$

$\huge \bf \therefore \:n \: = 60 \degree$