Question

plz give me ryt answer .. challenge for maths toppers​

Answer 1

x =110°

and

y=70°

mark me as brainliest

Answer 2

Explanation :-

Given :-

• AB || CD
• x = (3a + 20°) & y = (2a + 10)°

To Find :-

• Angle x and angle y.

Construction :-

• Draw Angle p.

Solution :-

(1) ∠x = ∠p --------[Vertically opposite angles]

• AB || CD & taking EF is traversal.

(2) ∠p + ∠y = 180° ------[Interior angles]

(3) ∠x + ∠y = 180° ------[ From (1) & (2) ]

(4) 3a + 20° + 2a + 10° = 180°

=> 3a + 2a + 20° + 10° = 180°

=> 5a + 30° = 180°

=> 5a = 180° - 30°

=> 5a = 150°

(5) a = 30°

Hence,

• ∠x = (3a + 20°) = (3×30° + 20°) = 110°
• ∠y = (2a + 10°) = (2×30° + 10°) = 70°

Verification :-

Already proved that, ∠x + ∠y = 180°

=> 110° + 70° = 180°

=> 180° = 180°

Hence, Verified !!