esinmuhammed07 esinmuhammed07
  • 03-06-2021
  • Mathematics
contestada

the angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles​

Respuesta :

ghaithgh
ghaithgh ghaithgh
  • 03-06-2021

Answer:

60–x (smaller )

Step-by-step explanation:

Sum of all 4 angles of a quadrilateral = 360°

(5x-30) + (3x + 60) + (60-x) +(4x+ 50) = 360°

(12x - x) + ( 170 - 30) = 360°

11x + 140 = 360°

11x = 360 - 140 = 220

x = 220/11 = 20°

Each angles is :

5x - 30 = 100 - 30 = 70°

3x+ 60 = 60 + 60 = 120°

60 - x = 60 - 20 = 40°

4x + 50 = 80 + 50 = 130°

Smallest of these angles is 40°

Answer Link

Otras preguntas

How is the ecological system organized?
Why do automobiles rust more easily in wet climates than drier climates?
Who did Odysseus leave behind when he left Troy for Ithaca, and how was it destructive?
Because the majority of the evening cable TV programs available dealt with violence and sex, the parents decided that the programs were for the children to watc
If y=2 when x=3. What is the value of y when x=9?
Wanda, the Channel 1 weather person, said there was a 30% chance of rain on Saturday and a 30% chance of rain on Sunday. Should Wanda be fired? HELP PLEASE
Before the Civil War, the cotton plantations of the ___ South depended on British textile companies for their markets.A.antebellumB.anteriorC.avant-garde
The ratio of Sam age to Hanks is 5 to 3. If the sum of their ages is 24, how old is Hank?
What is '7b-2b+3-1' ? Need working and it's equations!!
find the area of a triangle given that c=40m b=20m a=48°