Question

find the degree measure of each angle in the triangle

Answer 1

Answer:

• ∠R = 56°
• ∠Q = 90°
• ∠S = 34°

Step-by-step 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°.