talentsrulez
talentsrulez talentsrulez
  • 21-06-2020
  • Mathematics
contestada

In the given figure, values of x and y, are 1. 40°, 25° 2. 30°, 40° 3. 30°, 20° 4. 40°, 35°

In the given figure values of x and y are 1 40 25 2 30 40 3 30 20 4 40 35 class=

Respuesta :

SvetkaChem
SvetkaChem SvetkaChem
  • 21-06-2020

Answer:

1. 40°, 25°

Step-by-step explanation:

The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.

2x + 4 + 4y - 4 = 180

x+ 10 + 5y + 5 = 180

2x + 4y = 180

x +5y + 15 = 180

x + 2y = 90

x + 5y = 165

x = 90 - 2y

x = 165 - 5y

90 - 2y = 165 - 5y

5y - 2y = 165 - 90

3y = 75

y = 25

x = 90- 2y = 90 - 2*25 = 40

x= 40, y = 25

Answer Link

Otras preguntas

Which of the inequalities represents the statement, "two times a number x, less 15, is greater than or equal to 4 times the number y"?
What is the main source of energy for life on earth?
The comparisons made in the second half of this excerpt suggest that
What is the main purpose of the nervous system??
who is of the united states president
Is a bear a herbivore
When a person believes that other groups have natural cultural characteristics and there are no variations within a specific culture, this person displays which
what is the common denominator as a fraction of 8/21
Does amanda die in the book stay alive by simon kernick?
As the temperature of a liquid increases, its viscosity _____. increases stays the same decreases