∠1, ∠2, and ∠3 form a straight line. If m∠3 is six more than twice m∠1 and m∠2 is 27 less than m∠3, find m∠2.

m<2 = 57

Step-by-step explanation:

Since they are all in a straight line, the sum of the three angles = 180

Let m ∠3 = x

Thus;

2m<1 = x - 6

m<1 = (x-6)/2

m<2 = x-27

Adding all

x + x-27 + (x-6)/2 = 180

Multiply through by 2

2x + 2x -54 + x -6 = 360

5x -60 = 360

5x = 360 + 60

5x = 420

x = 420/5

x = 84

But m<2 = x -27

m<2 = 84 -27 = 57

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)