sarahsolana0210 sarahsolana0210
  • 23-04-2018
  • Mathematics
contestada

In the accompanying diagram of parallelogram ABCD, LaTeX: m\angle A=2x-10 m ∠ A = 2 x − 10 and LaTeX: m\angle B=5x+15 m ∠ B = 5 x + 15 . Find x.

Respuesta :

Professor1994 Professor1994
  • 24-04-2018
x=?
In a parallelogram the consecutive angles must be complementary, that means they must add 180°.
In the parallelogram ABCD then angles A and B are consecutive, then:
m <A + m <B = 180°
Replacing the given angles:
(2x-10)+(5x+15)=180
2x-10+5x+15=180
Adding similar terms:
7x+5=180
Solving for x. Subtracting 5 both sides of the equation:
7x+5-5=180-5
7x=175
Dividing both sides of the equation by 7:
7x/7=175/7
x=25

Answer: x=25
Answer Link

Otras preguntas

A very large study of 55,00 europeans from childhood through late adulthood found that eveningness peaked at what age?
What type of fats or lipids form animal body fat that is used for stored energy and insulation?
find the LCM of these numbers: 18, 27
-4(j+2)-3j=6 whats the answer
A flower bed is in the shape of a triangle with one side twice the length of the shorter side and the third side is 26 feet more than the length of the shortest
When did the development of agriculture occur? Explain why it was quickly accepted as the preferred food source by people living in settlements.
In the game dante's inferno how did dante go to hell
Can you please help me?
in what kind of government des a small group have a firm controlover a country
72 ounces in 6 steaks