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

In Latin America, what did land reform accomplish?
On average Exante Express trains are 50km/hr faster than Paral passenger trains. A Paral passenger train requires 60% more time then Exante train to travel 1800
how might the history of california have been different if the gold rush had not happened
literary images are enhanced by the use of _______ language.
Two parents with dimples have a child with no dimples. The allele D for dimples is dominant. What are the possible genotypes of the parents? I. DD and Dd II. Dd
it is asking me to insert parentasies
What are the positive and negative aspects of a zoo or safari park?
A rectangle has an area of 30 square units and a perimeter of 34 meters.what are the dimensions of this rectangle
convert to vertex form. y=2x^2+14x-4
What is the value of 6P6?  A.1  B.36  C.720  D.46,656