Help? Due today please
1 answer:
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Answer:
This is proved by ASA congruent rule.
Step-by-step explanation:
Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ
we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.
In ΔAPN and ΔAQL
∠PNA=∠ALQ (∵alternate angles)
AN=AL (∵diagonals of parallelogram bisect each other)
∠PAN=∠LAQ (∵vertically opposite angles)
∴ By ASA rule ΔAPN ≅ ΔAQL
Hence, by CPCT i.e Corresponding parts of congruent triangles PA=AQ
Hence, A is equidistant from LM and KN.
Answer:
x=20 degrees
Step-by-step explanation:
So, lets recall some things.
First off, opposite angles are the same.
So this would make x equal 20.
But lets test this.
When you look at a X, or any other sort of two lines that cross each other, can you ever think of a time when one side is not the same as the other? No.
This is because when you change one angle, since the lines are crossed together, it will change the opposite angle. This change will always be constant as long as the two lines connect at the same point
So if you changed a 10 degree angle of two lines, so that it was 30, this would change for the other line.
I attached a image below.
I hope this explains this to you and helps! :D
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Respuesta:
x = 20 grados
Explicación paso a paso:
Entonces, recordemos algunas cosas.
En primer lugar, los ángulos opuestos son iguales.
Entonces esto haría que x sea igual a 20.
Pero probemos esto.
Cuando miras una X, o cualquier otro tipo de dos líneas que se cruzan, ¿puedes pensar alguna vez en un momento en el que un lado no sea igual que el otro? No.
Esto se debe a que cuando cambia un ángulo, dado que las líneas se cruzan, cambiará el ángulo opuesto. Este cambio siempre será constante siempre que las dos líneas se conecten en el mismo punto
Entonces, si cambia un ángulo de 10 grados de dos líneas, de modo que sea 30, esto cambiaría para la otra línea.
Adjunto una imagen a continuación.
¡Espero que esto te explique esto y te ayude! :D
