Question

Find the measure of the missing angles.

plz answer it. plz​

Answer 1

Answer:

1) Angle 2 = 45°

=> Angle 3 = 45°

=> Angle 4 = 135°

=> Angle 5 = 135°

=> Angle 6 = 45°

=> Angle 7 = 45°

=> Angle 8 = 135°

2) x = 100°

=> x- 20 = 80°

Step-by-step explanation:

1) 135°+ angle 2 = 180° ( Linear pair )

= Angle 2 = 180°- 135°

= Angle 2 = 45°

= Angle 3 = Angle 2 ( Vertically opposite angles )

= Angle 3 = 45°

= Angle 4 + Angle 2 = 180° ( Linear pair )

= Angle 4 + 45° = 180°

= Angle 4 = 180° - 45°

= Angle 4 = 135°

=> Angle 5 = Angle 4 ( Alternate interior angles )

=> Angle 5 = 135°

=> Angle 6 = Angle 3 ( Alternate interior angles )

=> Angle 6 = 45°

=> Angle 7 = Angle 6 ( Vertically opposite angles )

=> Angle 7 = 45°

=> Angle 8 = Angle 5 ( Vertically opposite angles )

=> Angle 8 = 135°

2) x-20° + x = 180° ( Linear pair )

=> 2x - 20° = 180°

=> 2x = 180° + 20°

=> 2x = 200°

=> x = 200°/2

=> x= 100°

$x = 100$

$x - 20 \\ 100 - 20 \\ = 80$

=> x - 20

=> 100° - 20

=> 80°

Answer 2

Answer:

Step-by-step explanation:

8] 1) ( ∠h and ∠g ) , (∠f and ∠e ) , ( ∠a and ∠b ) and ( ∠c and ∠d ).

2) ( ∠h and ∠f ) , ( ∠a and ∠c ) , ( ∠b and ∠d ) and ( ∠g and ∠e ) .

3) ( ∠g and ∠c ) and ( ∠b and ∠f ) .

4) ( ∠a and ∠e ) and ( ∠h and ∠d ) .

5) ( ∠h and ∠f ) , ( ∠a and ∠c ) , ( ∠b and ∠d ) and ( ∠g and ∠e ) .

6) ∠b = 40° , ∠c = 140° , ∠d = 40° , ∠e = 140° , ∠f = 40° , ∠g = 140° , ∠h = 40°

C] 1) ∠1 = 135° , ∠2 =45° , ∠3 = 45° , ∠4 = 135° , ∠5 = 135° , ∠6 = 45° , ∠7 = 45° ,

∠8= 135° .

2 ) x = 100° and x - 20° = 100° - 20° = 80° .