Question

I need an answer for this A.S.A.P if the answer is correct I will mark it brainliest, If you don't know it don't bother answering thanks!

Answer 1

I can see that this set of lines were perpendicular until that last line that split 4 and 3. We know that a combination of 4 and 3 is equal to 90°. Plus the angle next to 1 has a measure of 57°. Those angles have the same measure. So now we know what equation to solve.

$57 = 2x - 7\\57 + 7 = 2x - 7 + 7\\64 = 2x\\\frac{64}{2} = \frac{2}{2}x\\32 = x$

So now we know that x = 32.

Answer 2

Answer:

x = 32.

Step-by-step explanation:

To solve this correctionly, I like use to make some points clear.

Opposite angles are equal. That is, angle 4 and 57° are the same.

If that be the case:

(2x - 7)° = 57°

2x = 57 + 7

2x = 64

x = 64/2

x = 32°

We can also solve it with another approach.

We know that angles on a straight line equals 180°

If that be the case, then:

Angles 3,4 and 5 are on a straight line.

Angle 3 = 33°

Angle 4 = (2x - 7)°

Angle 5 = 90°

Therefore,

90° + 33° + (2x - 7)° = 180°

123° + 2x - 7 = 180°

116° + 2x = 180

2x = 180° - 116°

2x = 64°

Divide through by 2

x = 64/2

x = 32°

Enjoy Maths.