Math, asked by shaina77, 1 year ago

if the degree measures of the angles of quadrilateral are 4 x,7x,9 x and 10x what is the sum of the measures of the smallest angle and largest angle

Answers

Answered by NeverMind11
12
I hope this helps you
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anonymous64: are fir bhi answer glt to hai, maan lo main hi poochta yahi likhta exam me, marks katte, ha ya n
anonymous64: unhi do values ki wajah se socho mera kitna marks jaa skta tha..
anonymous64: achcha choro ab is baat ko.. agli.baar se please values dekh liya krna
shaina77: uffo
shaina77: koi baat nhi
shaina77: pls stop it
anonymous64: are thik h yr. Main ruk gya hoon ab kya chahiye
shaina77: hm fine
Answered by anonymous64
18
We know that the sum of all angles in a quadrilateral is 360°

Then, According to question,

4x + 7x + 9x + 10x = 360
 =  > 30x = 360
 =  > x =  \frac{360}{30}
 =  > x = 12
Therefore, the angles are as following -
4x = 4 × 12 = 48°
7x = 7 × 12 = 84°
9x = 9 × 12 = 108°
10x = 10 × 12 = 120°

Hence, smallest angle = 48° and largest angle = 120°

Hope this answer helps.. :-)

anonymous64: Thanks
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