Question

B. Solve the following questions,
1. The figure shown alongside is a square. Find the value of x,
2. PQRS is a trapezium, in which PQ || RS and P =
of other two angles.
Q = 50°. Find the measure
3. Find the value of x from the figure given alongside,
50
65
4. Find each angle of a rhombus if two adjacent angles are
in ratio 4:5.
5. The angles of a hexagon are (2x + 6)". (5x – 20), (3x + 4)
(2x + 10), (5x + 2) and (4x + 25). Find the measure of each angle.​

Answer 1

Given angle P and S = 90°✓

Angle PQR= 180°-65°=115° (°•° any line make 180° with plane)

Simliarly angle PTS= 180°-50°=130°

Now :

________

We know sum of all angles of a regular pantagon is 540°

•°•

$90 \times 2 + 115 + 130 + y = 540$

y= angle QRS

$= > 425 + y = 540 \\ \\ = > y = 115$

•°• Angle X = 180°-y

=>X=180°-115°

$= > x = 65$