jerrygentry6591 jerrygentry6591
  • 02-06-2022
  • Mathematics
contestada

12.34
the measure of one interior angle of a rhombus is [tex]79^{\circ}[/tex] . what are the measures of the other three interior angles?

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 03-06-2022

Step-by-step explanation:

a rhombus is a parallelogram with 4 identical sides.

it has therefore two pairs of equal angles.

as any quadrilateral the sum of all interior angles is 360°.

(and yes, as add-on, the diagonals bisect each other at right angles).

so, one interior angle is 79°.

that means it has a twin that is also 79°.

together they have 79×2 = 158°.

that leaves

360 - 158 = 202°

for the other 2 angles (they must be equal too).

so, each of them has

202/2 = 101°

so, the other 3 angles are

79°, 101°, 101°

Answer Link

Otras preguntas

H(x)=(x^2)+1 and K(x)=-(x^2)+4. If K(H)=0, what are the roots/solutions? a. ±i√3 b. ±i c. ±2 d. ±1 e. ±1, ±i
what number is 100,000,000 more than 5,438,724,022?
A Japanese beetle has length between 0.3 and 0.5 inches.Find two lengths that are within the given span. Write them as fraction in simplest form?PS NO ONE HAS D
How does Newton's second law apply to basketball?
36/b-3=0 find the solution of this equation.
the speed at which at a certain computer can access the internet is 2 megabytes per second how fast is this in megabytes per hour
what integer does the square root of 75 lie between...please explain
If 2x+ 3y = 55 and 4x= y+ 47, find x − y. Can you please explain with some details?
What factors shaped American imperialism?
give an example of a unit rate used in a real-world situation