Question

Find the value of x,y,z

Answer 1

Step-by-step explanation:

10x+8x=180°

18x=180°

x=10°

y=8x

=8×10

=80°

z=10×10

=100°

Answer 2

Solution :-

Here, by observing the given figure ,

• Two pair of adjacent angles = ( 10x , 8x ) , ( y , z )
• Two pair of opposite angles ( 10x , z ) , ( y , z )

We need to find ,

• x = ?
• y = ?
• z = ?

Here , firstly finding angles x , y , z using properties of parallelogram .

Property of finding x :-

• Sum of adjacent sides of a parallelogram = 180°.

Property of finding y :-

• Opposite angles of a parallelogram are always equal .

Property of finding z :-

• Sum of adjacent sides of a parallelogram are always equal .

• Finding x :-

By using the given property ,

→ 10x + 8x = 180°

→ 18x = 180°

→ x = 180° / 18°

→ x = 10°

• Finding y :-

By using the given property ,

→ 8x = y

Substituting x = 10°

→ 8 ( 10° ) = y

→ y = 80°

• Finding z :-

By using the given property

→ y + z = 180°

Substituting y = 80°

→ 80° + z = 180°

→ z = 180° - 80°

→ z = 100°

Hence ,

• x = 10°
• y = 80°
• z = 100°