Respuesta :

so an isosceles triangle has twin sides, stemming from a "vertex" and towards a "base".

JK and KL stem from vertex K and go towards base JL.

the angles that the twin sides make on the other side, the base, are also twins.

we know ∡K = 26°, since the sum of all interior angles in a triangle is 180°, then 180 - 26 = 154, the twin angles will split that remaining degrees, namely each one is 154/2 = 77°.

From concept of isosceles triangle, the value of m∠L is Option(C) 77° .

What is an isosceles triangle ?

An isosceles triangle is a triangle that has two sides of equal length. For an isosceles triangle, the two adjacent sides are always equal and also, the base angle of the triangle having equal sides have the same measure.

How to find the measure of the given angle from concept of isosceles triangle ?

From the diagram given in the question, there is an isosceles triangle ΔJKL having sides JK and KL equal.

Also given, the value of m∠K is 26° .

Thus for the given isosceles triangle, the base angles m∠L and m∠J are equal.

Let m∠J = m∠L = x°

We know that the sum of the interior angles of any triangle is equal to 180° .

⇒ m∠L + m∠J + m∠K = 180°

⇒ x° + x° + 26° = 180°

⇒ 2x = 180° - 26°

⇒ 2x = 154°

∴  x = 77°

Thus, m∠L = 77° .

Therefore, from concept of isosceles triangle, the value of m∠L is Option(C) 77°.

To learn more about isosceles triangle, refer -

https://brainly.com/question/16350203

#SPJ2

Otras preguntas