Question

Find the degree measure of each angle in the triangle.

Answer 1

• ∠K = 46°
• ∠L = 90°
• ∠J = 44°

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°.