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

Which of the following did the Native Americans NOT offer in their treaty?
Compute the Cost of Goods Manufactured and Cost of Goods Sold for Strike Marine Company for the most recent year using the amounts described next.Assume that Ra
will you have no no square invasion time with me.
what is 86 Fahrenheit degrees into Celsius degrees
plz help me desperate
A tourist who wants to visit both a forest and the state capital would most likely go to which region of North Carolina? A. the Piedmont region B. the mountains
how to write an application to manager for changing gym equipments in camp. ​
What is 84% written as a fraction
Boxfit for Everyone is a locally owned fitness facility featuring cross training classes incorporating boxing drills. They offer group classes twice daily at 7
do archeologists study dinosaur bones