Question

Find the degree measure of each angle in the triangle.

Answer 1

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°.