Math, asked by singhdawarr, 2 days ago

Find the measure of all the four angles of this quadrilateral.

Attachments:

Answers

Answered by Ahdem
1

Answer:140°,100°,60°,60°

Explanation:

SUM OF ALL INTERIOR ANGLES INSIDE A QUADRILATERAL IS EQUAL TO 360° .

so, 7x+5x+3x+3x=360°

18x=360°

x=20°

then,

7x=140°

5x=100°

3x=60°

therefore measure of all four angles are 140°,100°,60°,60°

Answered by shallkumari29march19
2

\large\bold\orange{\underline{Answer:-}}

\tt\small\blue{Angles \:are : 140°, 100°, 60° and \:60°.}

\large\bold\green{\underline{Explaination:-}}

Sum of all angles of a quadrilateral is 360°.So, we can write that :-

7x + 5x + 3x + 3x = 360

 =  > 18x = 360

 =  > x =  \frac{360}{18}  = 20

Now,

angles are,

7x = 7 \times x = 7 \times 20 = 140 \: degrees

5x = 5 \times x = 5 \times 20 = 100 \: degrees

3x = 3 \times x = 3 \times 20 = 60 \: degrees

3x = 3 \times x = 3 \times 60 = 60 \: degrees

So,

angles are : 140°,100°,60° and 60°.

Similar questions