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

1+0.9+0.08+0.001 Somebody can help me please
1+0.9+0.08+0.001 Somebody can help me please
Any gîrls here free to talk
1/10 + -9/10 = what in fraction form
You are standing at the edge of a cliff which is 40 m tall. You throw an apple up with a speed of 15 m/s, and it accelerates downward at 9.81 m/s^2. How long do
the answer is 20/13 you can simplify the answer.
You are standing at the edge of a cliff which is 40 m tall. You throw an apple up with a speed of 15 m/s, and it accelerates downward at 9.81 m/s^2. How long do
SECOND TIME ASKING HELP!!! 6. Jackie has n nickels and q quarters in her pocket. The total value of the coins is at least $24.75. Write an inequality that repre
solve the question x - 2 = long division 4x
What element is in period 4, group 12?