Find the degree measure of each angle in the triangle.

Mathematics

1 answer:

vlada-n [284]2 years ago

7 0

Answer:

∠K = 46°
∠L = 90°
∠J = 44°

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

90°
(4x + 10)°
(2x + 26)°

Solving according to angle sum property,

Sum of all angles in a triangle is 180°

$\longrightarrow$ 90° + (4x + 10)° + (2x + 26)° = 180°

$\longrightarrow$ 126° + 6x = 180°

$\longrightarrow$ 6x = 180° - 126°

$\longrightarrow$ 6x = 54°

$\longrightarrow$ x = 9

Angles =

$\longrightarrow$ 4(9) + 10

$\longrightarrow$ 46°

$\longrightarrow$ 2(9) + 26

$\longrightarrow$ 44°

∠K = 46°
∠L = 90°
∠J = 44°

The angles are 46°, 90° and 44°.

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