Question

Find the degree measure of each angle in the triangle

Answer 1

• ∠R = 56°
• ∠Q = 90°
• ∠S = 34°

Explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

• 90°
• (2x + 38)°
• (5x - 11)°

Solving according to angle sum property,

Sum of all angles in a triangle is 180°

`\longrightarrow` 90° + (2x + 38)° + (5x - 11)° = 180°

`\longrightarrow` 117° + 7x = 180°

`\longrightarrow` 7x = 180° - 117°

`\longrightarrow` 7x = 63°

`\longrightarrow` x = 9

Angles =

`\longrightarrow` 2(9) + 38

`\longrightarrow` 56°

`\longrightarrow` 5(9) - 11

`\longrightarrow` 34°

• ∠R = 56°
• ∠Q = 90°
• ∠S = 34°

The angles are 56°, 90° and 34°.