Question

Can someone plz help me asap!

Answer 1

Let the angle adjacent to ∠27° be x .

`∠x + 27 = 180° \: ( \: linear \: pair \: )`

`x = 180 - 27 \\ ∠x = 153°`

Let the angle opposite to ∠27° be y .

`∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )`

Let the angle adjacent to ∠y ( 27°) be w .

`w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°`

Let the angle opposite to ∠35° be p .

`∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )`

Let the angle adjacent to ∠35° be a .

`∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°`

Let the angle opposite to ∠35° be t .

`∠t = 35° \: ( \: vertically \: opposite \: angles \: )`

Let the angle opposite to ∠145° be o .

`∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )`

Answer 2

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Explanation: