Question

Check the Q below please can u tell fast

Answer 1

Answer:

i) 50

ii) 110

I hope these will help you

Answer 2

Answer:

i) x = 30°

ii) m∠1 = 70°

iii) m∠4 - m∠1 = 40°

iv) 2∠6 = 220°

v) m∠8 + m∠2 = 220°

vi) Yes they are equal

Step-by-step explanation:

i) angle 1 + 2 = 180° (linear pair)

∠1 = (2x + 10)°

∠2 = 110°

2x + 10 + 110 = 180°

2x + 120 = 180°

2x = 180° - 120°

2x = 60°

x = 60° ÷ 2

x = 30°

ii) m∠1 = (2x + 10)°

x = 30°

m∠1 = [(2×30)+10]°

m∠1 = (60 + 10)°

m∠1 = 70°

iii) m∠4 = ∠2 (vertically opposite angles)

m∠4 = 110°

m∠1 = 70°

110° - 70° = 40°

m∠4 - m∠1 = 40°

iv) ∠2 = ∠6 (cor-responding angles on the same side of the transversal)

∠6 = 110°

2∠6 = 2 × ∠6

= 2 × 110°

= 220°

2∠6 = 220°

v) m∠8 = m∠6 (vertically opposite angles)

m∠8 = 110°

m∠2 = 110°

m∠8 + m∠2

= 110° + 110° = 220°

m∠8 + m∠2 = 220°

vi) m∠4 = m∠6

as m∠4 = 110° (vertically opposite angle to ∠2)

m∠6 = 110° (Corresponding angle on the same side of the transversal to ∠2)

m∠4 = m∠6 = 110°

Yes they are equal

(pls mark me as brainliest) It took me a lot of time to type all this