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

if C is an infinite set and B is a finite set then C\B is infinite set
Benjamin finished his triathlon in 12.44 hours. During the race, he drank 460.28 fluid ounces of liquid. How many fluid ounces did he drink per hour?
is energy released or absorbed during the formation of a solution?
Psychology involves the study of behavior in __________. A). Animals Only B). Humans Only C). Animals, Plants, And Humans D). Humans Only
What is 1.26 written as a fraction or mixed number? A. 1/26 B. 1 13/50 C. 1 2/6 D. 2 1/6
Explain the difference between "b divided by 10" and "b divided into 10"
fractions equivalent to 27⁄81.
how were the original 13 colonies governed before they joined together to form one nation
what are the consequences when cultures interact
Joel made some muffins. He gave 1\4 of the muffins to a neighbor.He took 3\8 of the muffins to school.What fraction of muffins is left?