Do Q1, Q2 all parts do carefully step by step

The measure of the four angles are 30°, 60°, 120°, 150°

Step-by-step explanation:

Q 11.

The sum of the measures of the angle at a point is 360°

Let us use this fact to answer the question

→ Assume that m∠AOB is x°

∵ m∠AOB = x°

∵ m∠BOC is twice m∠AOB

∴ m∠BOC = 2x°

∵ m∠COD is 4 times m∠AOB

∴ m∠COD = 4x°

∵ m∠DOA is 5 times m∠AOB

∴ m∠DOA = 5x°

→ By using the fact above

∵ m∠AOB + m∠BOC + m∠COD + m∠DOA = 360°

∴ x° + 2x° + 4x° + 5x° = 360°

→ Add the like terms

∴ 12x° = 360°

→ Divide both sides by 12

∴ x = 30°

→ Substitute the value of x in each angle to find them

∵ m∠AOB = x°

∴ m∠AOB = 30°

∵ m∠BOC = 2x° = 2(30°)

∴ m∠BOC = 60°

∵ m∠COD = 4x° = 4(30°)

∴ m∠COD = 120°

∵ m∠DOA = 5x° = 5(30)

∴ m∠DOA = 150°

∴ The measure of the four angles are 30°, 60°, 120°, 150°

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total