The measure of angles ∠J , ∠L and ∠K are 18° , 90° and 72° respectively.
An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which means "corner". The two rays are referred to as the sides of an angle, while the common terminus is referred to as the vertex.
Given,
Here, in triangle JKL, let ∠J be x,
Then,
∠ K = 4 ∠ J = 4x
∠L = 5 ∠ J = 5x
Now,
∠J + ∠K + ∠L = 180°
x + 4x + 5x = 180°
10x = 180°
x = 180°/10
x = 18°
So,
∠ J = x
= 18°
∠ K = 4x
= 4×18°
= 72°
∠ L = 5x
= 5×18°
= 90°
The measure of angles ∠J , ∠L and ∠K are 18° , 90° and 72° respectively.
To know more about angles refer to:
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