△JKL and △LMN are shown. TrianglesJ K L and M N L share point L. Angle K measres 72 degrees. J K and K L are congruent. L M and L N are congruent.

What is m∠KJL?

m∠KJL =

This question is based on the concept of congruency. Therefore, the angle KJL is 54°.

Given:

Triangles J K L and M N L share point L. Angle K measures 72 degrees. J K and K L are congruent. L M and L N are congruent.

We need to determined the angle KJL.

According tot the question,

It is given that, in ΔJKL,  

⇒ ∠JKL = 72°

⇒ JK ≅ KL  ( Given )

Therefore, two sides of ΔJKL are congruent. So, the triangle is an isosceles triangle.

By using the property of an isosceles triangle,

Opposite angles of the congruent sides of an isosceles triangle are equal in measure.

Therefore,

⇒ ∠J ≅ ∠L

By the property of a triangle,

As we know that, sum of all interior angles of a triangle is 180°.

⇒∠J + ∠K + ∠L = 180°

⇒∠J + 72° + ∠J = 180° [Since, ∠J = ∠L]

⇒2 ∠J = 180° - 72°

⇒∠J = 54°

Therefore, ∠KJL or ∠J is 54°.

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m∠KJL = 54°

Step-by-step explanation:

In ΔJKL,

m∠JKL = 72°

JK ≅ KL

Since, two sides of ΔJKL are congruent, triangle is an isosceles triangle.

By the property of an isosceles triangle,

Opposite angles of the congruent sides of an isosceles triangle are equal in measure.

Therefore, ∠J ≅ ∠L

By the property of a triangle,

Sum of all interior angles of a triangle is 180°.

m∠J + m∠K + m∠L = 180°

m∠J + 72° + m∠J = 180° [Since, m∠J = m∠L]

2m∠J = 180° - 72°

m∠J = 54°

Therefore, m∠KJL or m∠J is 54°.

step-by-step explanation:

whole number data type

step-by-step explanation:

as whole number type represents whole number

like 1, 2 ,3, 4

in other words the whole numbers are those numbers which cannot be written infraction.

since we can take days as a whole number i.e 1 day 2 day and we cannot write 1.2 day hence we will use whole number data type